The gp is:
______, _____, 108, ____, _____, 32, _____, _____, ...
which is actually this sequence:
108/r², 108/r, 108, 108r, 108r², 108r³, 108d4, 108d5, ...
So the 6th term, 32, must equal 108r³
32 = 108r³
32/108 = r³
8/27 = r³
2³/3³ = r³
(2/3)³ = r³
2/3 = r
The first term is 108/r² = 108/(2/3)² = 108/(4/9) = 108(9/4) = 243
Checking the sequence, we use first term 243 and common ratio 2/3
243, 162, 108, 72, 48, 32, ...
The third term is 108 and the 6th term is 32.
Edwin