Finding the Third Proportional to 81,891 and 172,530

Step by Step Solution

1. Step 1: Write the proportion equation
   81,891 : 172,530 = 172,530 : x
2. Step 2: Convert to fraction form
   81,891/172,530 = 172,530/x
3. Step 3: Cross multiply
   81,891x = 172,530 × 172,530
4. Step 4: Simplify right side
   81,891x = 29,766,600,900
5. Step 5: Solve for x
   x = 29,766,600,900/81,891
6. Step 6: Final answer
   x = 363,490.50