Finding the Third Proportional to 156,126 and 338,499

Step by Step Solution

1. Step 1: Write the proportion equation
   156,126 : 338,499 = 338,499 : x
2. Step 2: Convert to fraction form
   156,126/338,499 = 338,499/x
3. Step 3: Cross multiply
   156,126x = 338,499 × 338,499
4. Step 4: Simplify right side
   156,126x = 114,581,573,001
5. Step 5: Solve for x
   x = 114,581,573,001/156,126
6. Step 6: Final answer
   x = 733,904.49