Kammala jumla mai zuwa: Kóczán ya halarci Wasannin Olympics na 1912 a ƙarƙashin sunan Mór Kovács don kauce wa rikice-rikice da cocin, wanda ya yi adawa da ayyukan wasansa. A zagaye na farko na babban taron sa,
javelin, Kóczán ya jagoranci rukunin sa kuma ya sami sakamako na uku mafi kyau tare da mita 54.99. A zagaye na karshe ya inganta shi zuwa 55.50 amma bai iya daidaitawa da mai karewa Eric Lemming (60.64) da Julius Saaristo (58.66) ba, kuma daga karshe ya lashe lambar tagulla don haka ya zama ba-Scandinavian na farko da ya lashe lambar yabo a cikin javelin jefa a wasannin Olympics da kuma dan Hungary na farko da ya lashe lambar yabo a wasannin motsa jiki. A cikin gasar jefa javelin da hannu biyu Kóczán ya gama na 12 kuma a cikin wasan jefa diski ya zo na 33.