Finding the Third Proportional to 152,071,962,943 and 316,658,809,766

Step by Step Solution

1. Step 1: Write the proportion equation
   152,071,962,943 : 316,658,809,766 = 316,658,809,766 : x
2. Step 2: Convert to fraction form
   152,071,962,943/316,658,809,766 = 316,658,809,766/x
3. Step 3: Cross multiply
   152,071,962,943x = 316,658,809,766 × 316,658,809,766
4. Step 4: Simplify right side
   152,071,962,943x = 100,272,801,802,419,783,598,080
5. Step 5: Solve for x
   x = 100,272,801,802,419,783,598,080/152,071,962,943
6. Step 6: Final answer
   x = 659,377,309,675.45