Select the missing number from the following options to complete the given series:
0.12,\, 0.48,\, 1.92,\, 7.68,\, 30.72,\, \text{____},\, 491.52

Let's find the mathematical relation between successive terms of the given numeric series:
* First term to second term: $0.12\times 4=0.48$
* Second term to third term: $0.48\times 4=1.92$
* Third term to fourth term: $1.92\times 4=7.68$
* Fourth term to fifth term: $7.68\times 4=30.72$

The pattern is a geometric progression where each term is multiplied by $4$. Applying this rule to find the missing term:

$$\text{Missing Term}=30.72\times 4=122.88$$

Let's verify with the final term:

$$122.88\times 4=491.52$$

This matches the series exactly.