Finding the Third Proportional to 313,784,605.27 and 684,068,111.58

Step by Step Solution

1. Step 1: Write the proportion equation
   313,784,605.27 : 684,068,111.58 = 684,068,111.58 : x
2. Step 2: Convert to fraction form
   313,784,605.27/684,068,111.58 = 684,068,111.58/x
3. Step 3: Cross multiply
   313,784,605.27x = 684,068,111.58 × 684,068,111.58
4. Step 4: Simplify right side
   313,784,605.27x = 467,949,181,278,027,840
5. Step 5: Solve for x
   x = 467,949,181,278,027,840/313,784,605.27
6. Step 6: Final answer
   x = 1,491,307,009.41