Dead ball or not???

[TWelker]

Runners on 1st and 2nd, one out. Batter has full count. Last pitch is called a ball by plate ump and catcher appeals to field ump who said the batter did in fact go around. Out #2!! Catcher then throws down to third and catches runner at third off the bag. Is this out #3 or is the ball dead because of the appeal???