Multiperiod Accounting/Invoices

We are setting up invoices so that they are paid over a number of periods using Multiperiod Accounting in Accounts Payable. Their desire is to create the invoice so that the invoice, based on the invoice date, for example, an installment invoice to be paid over six month, but the invoice is not entered until period three would recognize three months of the installment in the first month, then recognize the remaining invoice amounts over the next three months.

A $600 - 6 month invoice entered in month three would aggregate the first months invoice in month one for three hundred dollars, then schedule the remaining three $100 monthly payments over the next three months. Is there a way to do this?