1


PROSPECTUS SUPPLEMENT TO                        Filed Pursuant to Rule 424(b)(3)
PROSPECTUS DATED APRIL 2, 1997                            SEC File No. 333-23955
AND PROSPECTUS SUPPLEMENT                         
DATED AUGUST 31,1998







                              LOMAK PETROLEUM, INC.
                                 $55,000,000 of
                 6% Convertible Subordinated Debentures due 2007
                                       and
                        4,287,249 SHARES OF COMMON STOCK

      ====================================================================

           The Date of this Prospectus Supplement is October 26, 1998

      ====================================================================

        The following information supplements the Prospectus dated April 2, 1997
as supplemented by the Prospectus Supplement dated August 31, l998 relating to
the offering of up to $55,000,000 principal amount of the 6% Convertible
Subordinated Debentures due 2007 (the "6% Debentures") of Range Resources
Corporation, a Delaware corporation (the "Company"), and 4,287,249 shares of
Common stock, $.0l par value per share (the "Common Stock"), of the Company from
time to time by certain holders of Common Stock and/or 6% Debentures (the
"Selling Securityholders").

        The Prospectus is supplemented with the following information to be
added under the heading "Selling Securityholders":

Common Stock 6% Debentures ------------------------------------------- ------------------------------------------ Principal Number of Amount of Number Shares Number of Percent of Debentures of Percent of SELLING SECURITYHOLDER Beneficially Shares Class After Beneficially Debentures Class After ---------------------- Owned Offered Offering Owned Offered Offering ------- ------- -------- ----- ------- -------- Allstate Insurance Company 3075 Sanders Road Suite G5A Northbrook, Illinois 60062 38,961(1) 38,961(1) - 750,000 750,000 - Frederick G. Dilger c/o A.G. Edwards & Sons Inc. P.O. Box 31367 Raleigh, North Carolina 27622 259(1) 259(1) - 5,000 5,000 - Laterman Strategies 90s LLC Laterman & Co. 5 East 59th Street New York, New York 10022 23,376(1) 23,376(1) - 450,000 450,000 -
2
Common Stock 6% Debentures ------------------------------------------- ------------------------------------------ Principal Number of Amount of Principal Shares Number of Percent of Debentures Amount of Percent of SELLING SECURITYHOLDER Beneficially Shares Class After Beneficially Debentures Class After ---------------------- Owned Offered Offering Owned Offered Offering ------- ------- -------- ----- ------- -------- Offshore Strategies LTD Laterman & Co. 5 East 59th Street New York, New York 10022 41,558(1) 41,558(1) - 800,000 800,000 - - ---------------------- (1) Issuable upon conversion of the 6% Debentures.