[greymule]

Here's a cut-and-paste from the ASA clarifications:

Play 2: With one out, B7 is scheduled to bat, however B8 bats. B8 hits a fly ball that is caught for the second out of the inning. The defense appeals that B8 batted out of order and the umpire calls B7 out for the third out of the inning. Who is the leadoff batter in the next inning?

Ruling: B8. In this case, since the second out of the inning was made by B8 and the third out was made by B7 for failure to bat in the proper order, B8 is now the leadoff batter in the next inning. When the batter declared out is the third out of the inning the correct batter to leadoff the next inning is the player who would have come to bat had the player been put out by ordinary play. (Rule 7, Section 2 D 2 d)

Apparently the scorekeeper has to use an asterisk or draw an arrow or something.