RFS is right, and you're wrong.
Fred Merkle and the New York Giants had a very similar play happen to them in a late September game against the Cubs. The Giants had Merkle on first base and Moose McCormick on third base in the bottom of the 9th inning in a tie game. Al Bridwell singled to score McCormick to apparently win the game, but Merkle just turned around and ran off the field without touching second base. Fans stormed the field, but Johnny Evers retrieved "a ball" (nobody knows if it was the actual game ball) and touched second base on an appeal. The umpires ruled Merkle out on a force out, which in turn erased McCormick's winning run and left the game tied.
Since fans had stormed the field, the game was called a tie. Shortly thereafter, the Giants and Cubs finished the regular season tied (including the Merkle game being ruled a tie), and they had to play a one-game makeup game. The Cubs won the game, they won the NL Pennant, then they went on to beat the Detroit Tigers in the World Series. And ironically that's the last time the Chicago Cubs have won the World Series.
Had Merkle touched second base, the Giants would have finished a game up on the Cubs at the end of the regular season without a makeup game being necessary, and the Giants would have won the NL Pennant.