Finding the Third Proportional to 172,566 and 353,499

Step by Step Solution

1. Step 1: Write the proportion equation
   172,566 : 353,499 = 353,499 : x
2. Step 2: Convert to fraction form
   172,566/353,499 = 353,499/x
3. Step 3: Cross multiply
   172,566x = 353,499 × 353,499
4. Step 4: Simplify right side
   172,566x = 124,961,543,001
5. Step 5: Solve for x
   x = 124,961,543,001/172,566
6. Step 6: Final answer
   x = 724,137.68