Hello from MrBillDoesMath!
Answer: NO solution possible!
Steps:
Let "n" be the first even number. We are told that
n + (n+2) + (n+4) + (n+6) + (n +8) = 216
The third number, the value we want, is boldfaced above.
Simplify the above equation:
5n + ( 2 + 4 + 6 + 8 ) = 216 or
5n + 20 = 216 or
5n = 196
n = 196/5 is NOT an integer value. This problem, as stated, has no solution.
Regards, MrB