Finding the Third Proportional to 86,222 and 133,025

Step by Step Solution

1. Step 1: Write the proportion equation
   86,222 : 133,025 = 133,025 : x
2. Step 2: Convert to fraction form
   86,222/133,025 = 133,025/x
3. Step 3: Cross multiply
   86,222x = 133,025 × 133,025
4. Step 4: Simplify right side
   86,222x = 17,695,650,625
5. Step 5: Solve for x
   x = 17,695,650,625/86,222
6. Step 6: Final answer
   x = 205,233.59