Finding the Third Proportional to 81,807 and 171,025

Step by Step Solution

1. Step 1: Write the proportion equation
   81,807 : 171,025 = 171,025 : x
2. Step 2: Convert to fraction form
   81,807/171,025 = 171,025/x
3. Step 3: Cross multiply
   81,807x = 171,025 × 171,025
4. Step 4: Simplify right side
   81,807x = 29,249,550,625
5. Step 5: Solve for x
   x = 29,249,550,625/81,807
6. Step 6: Final answer
   x = 357,543.37