Finding the Third Proportional to 152,071,962,948 and 316,658,809,774

Step by Step Solution

1. Step 1: Write the proportion equation
   152,071,962,948 : 316,658,809,774 = 316,658,809,774 : x
2. Step 2: Convert to fraction form
   152,071,962,948/316,658,809,774 = 316,658,809,774/x
3. Step 3: Cross multiply
   152,071,962,948x = 316,658,809,774 × 316,658,809,774
4. Step 4: Simplify right side
   152,071,962,948x = 100,272,801,807,486,318,280,704
5. Step 5: Solve for x
   x = 100,272,801,807,486,318,280,704/152,071,962,948
6. Step 6: Final answer
   x = 659,377,309,687.09