What is the next number in the series?
$$3,5,11,29,83,\_\_\_\_$$

Let's determine the differences between the consecutive terms of the given series:
* $5-3=2$
* $11-5=6$
* $29-11=18$
* $83-29=54$

Notice that the differences ($2,6,18,54$) form a geometric progression where each successive difference is multiplied by $3$:

* $2\times 3=6$
* $6\times 3=18$
* $18\times 3=54$

Following this pattern, the next difference must be:

$$54\times 3=162$$

Therefore, the next number in the series is:

$$\text{Next Number}=83+162=245$$