Runner on first. Fly ball to center field. Runner runs to second and touches the base, but then she retreats to first base, thinking the ball will be caught by the center fielder. The center fielder does not catch the ball. When the runner realizes the ball has not been caught, she is almost back to first base (within 5-10 feet). She then runs directly to third base across the middle of the infield. The defensive team attempts to throw her out at third, but the ump calls her safe. During the ensuing argument, the ump claims that the runner touched second base and may therefore proceed to third base. I believe she was out of the base path when the defense tried to make a play on her (throwing her out at third), and therefore she should have been out. What do you think?