The given number series is: 3, 4, 10, 33, 136, ?

To find the pattern in the series, let's analyze the difference between each consecutive term:

- The difference between 4 and 3 is 1.
- The difference between 10 and 4 is 6.
- The difference between 33 and 10 is 23.
- The difference between 136 and 33 is 103.

From the above differences, we can observe that the differences are increasing in a specific pattern. Let's find the difference between these differences:

- The difference between 6 and 1 is 5.
- The difference between 23 and 6 is 17.
- The difference between 103 and 23 is 80.

Now, let's find the difference between these differences:

- The difference between 17 and 5 is 12.
- The difference between 80 and 17 is 63.

From the above differences, we can see that the differences are increasing by a specific pattern, which is not consistent. Therefore, we can conclude that the series does not follow a simple arithmetic or geometric progression.

However, we can observe that the term in the series is obtained by adding the product of the difference and the (n-1)th term, where n is the position of the term in the series.

Let's apply this pattern to find the missing term:

The 1st term is 3.
The 2nd term is obtained by adding the product of the difference (1) and the (2-1)th term (3). Therefore, the 2nd term is 3 + (1 * 3) = 3 + 3 = 6.
The 3rd term is obtained by adding the product of the difference (6) and the (3-1)th term (6). Therefore, the 3rd term is 6 + (6 * 4) = 6 + 24 = 30.
The 4th term is obtained by adding the product of the difference (23) and the (4-1)th term (10). Therefore, the 4th term is 30 + (23 * 10) = 30 + 230 = 260.
The 5th term is obtained by adding the product of the difference (103) and the (5-1)th term (33). Therefore, the 5th term is 260 + (103 * 33) = 260 + 3399 = 3659.

Therefore, the missing term in the series is 3659.

The correct answer is option D) 985.