split the difference

verb2

1. •
   In a financial transaction, to settle on an amount midway between the offer and the asking price.

   • My new brother-in-law Allen told me I should ought to give the preist $5 and I thought it should be about $2 the same as the license so I split the difference and give him $3.50. — 1916
2. •
   To choose an option or take a position roughly midway between two opposed alternatives; to compromise.

   • Dolly suggested that they should meet at the club at 4 p.m. Sir Felix had named noon, and promised to call at Dolly's lodgings. They split the difference at last and agreed to start at two. — 1873