The answer is $\boxed{339}$.
The sequence is generated by the following formula: $a_n = 3^n - 1$.
Therefore, the missing term is $3^5 - 1 = 339$.
Option A, $226$, is not in the sequence because it is not a multiple of $3$.
Option B, $339$, is in the sequence because it is a multiple of $3$.
Option C, $452$, is not in the sequence because it is not a multiple of $3$.
Option D, $565$, is not in the sequence because it is not a multiple of $3$.
