Finding the Third Proportional to 87,226,569,702 and 189,736,142,535

Step by Step Solution

1. Step 1: Write the proportion equation
   87,226,569,702 : 189,736,142,535 = 189,736,142,535 : x
2. Step 2: Convert to fraction form
   87,226,569,702/189,736,142,535 = 189,736,142,535/x
3. Step 3: Cross multiply
   87,226,569,702x = 189,736,142,535 × 189,736,142,535
4. Step 4: Simplify right side
   87,226,569,702x = 35,999,803,784,061,836,591,104
5. Step 5: Solve for x
   x = 35,999,803,784,061,836,591,104/87,226,569,702
6. Step 6: Final answer
   x = 412,716,032,592.49