Split `207` into three parts such that these are in A.P. and the product of the two smaller parts is `4623`.

Explanation

Let the three parts of the number 207 are (a - d), a and (a +d), which are in AP.
Now, by given condition,
`implies` sum of these part `=207`
`implies a-d+a+a+d=207`
`implies 3a=207`
` " " a=69`
Given that, product of the two smaller parts `=4623`
`implies a(a-d)=4623`
`implies 69*(69-d)=4623`
` implies 69-d=67`
`implies " " d=69-67=2`
So, First part `=a-d=69-2=67,`
Second part `=a=69`
and third part`=a+d=69+2=71,`
Hence, required three parts are 67, 69, 71.