Finding the Third Proportional to 313,784,599.50 and 684,068,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   313,784,599.50 : 684,068,082.50 = 684,068,082.50 : x
2. Step 2: Convert to fraction form
   313,784,599.50/684,068,082.50 = 684,068,082.50/x
3. Step 3: Cross multiply
   313,784,599.50x = 684,068,082.50 × 684,068,082.50
4. Step 4: Simplify right side
   313,784,599.50x = 467,949,141,495,226,816
5. Step 5: Solve for x
   x = 467,949,141,495,226,816/313,784,599.50
6. Step 6: Final answer
   x = 1,491,306,910.03