Clarification please

[PGCougar]

Thanks for the help and references.

Just to clarify further, the throw to second was not appealed per se. The runner at second left the bag at the crack of the bat and was halfway down the baseline to third on the fly, made a judgement that the ball wouldn't be caught and proceeded to third. As the ball was caught, the third base coach yelled at him to run back to second as the ball was arriving to third. The third baseman then threw the ball back to second beating the runner racing back and was called out when the throw made it there before he got back. I assume the play was live the entire time so I don't think it was appealed as no time was granted. Immediately following the called out, the two officials conferred and ruled the run was allowed to score.

Does this make any difference? Again, please pardon my ignorance - I'm trying to learn.