The day in 1988 on which the year was 214.3 days old is:
*** edited *** I forgot July in my calcs
JUly 31st is day 213 so August 2 nd
Adding up Days Month Running Total
31 January 31
29 February 60
31 March 91
30 April 121
31 May 152
30 June 182
31 July 213 so the 214.3th day = August 2