Finding the Third Proportional to 82,413,414 and 171,608,782

Step by Step Solution

1. Step 1: Write the proportion equation
   82,413,414 : 171,608,782 = 171,608,782 : x
2. Step 2: Convert to fraction form
   82,413,414/171,608,782 = 171,608,782/x
3. Step 3: Cross multiply
   82,413,414x = 171,608,782 × 171,608,782
4. Step 4: Simplify right side
   82,413,414x = 29,449,574,059,523,524
5. Step 5: Solve for x
   x = 29,449,574,059,523,524/82,413,414
6. Step 6: Final answer
   x = 357,339,571.68