Finding the Third Proportional to 313,784,593 and 684,068,069

Step by Step Solution

1. Step 1: Write the proportion equation
   313,784,593 : 684,068,069 = 684,068,069 : x
2. Step 2: Convert to fraction form
   313,784,593/684,068,069 = 684,068,069/x
3. Step 3: Cross multiply
   313,784,593x = 684,068,069 × 684,068,069
4. Step 4: Simplify right side
   313,784,593x = 467,949,123,025,388,736
5. Step 5: Solve for x
   x = 467,949,123,025,388,736/313,784,593
6. Step 6: Final answer
   x = 1,491,306,882.06