Finding the Third Proportional to 80,502 and 171,398

Step by Step Solution

1. Step 1: Write the proportion equation
   80,502 : 171,398 = 171,398 : x
2. Step 2: Convert to fraction form
   80,502/171,398 = 171,398/x
3. Step 3: Cross multiply
   80,502x = 171,398 × 171,398
4. Step 4: Simplify right side
   80,502x = 29,377,274,404
5. Step 5: Solve for x
   x = 29,377,274,404/80,502
6. Step 6: Final answer
   x = 364,926.02