Finding the Third Proportional to 172,282.50 and 365,022

Step by Step Solution

1. Step 1: Write the proportion equation
   172,282.50 : 365,022 = 365,022 : x
2. Step 2: Convert to fraction form
   172,282.50/365,022 = 365,022/x
3. Step 3: Cross multiply
   172,282.50x = 365,022 × 365,022
4. Step 4: Simplify right side
   172,282.50x = 133,241,060,484
5. Step 5: Solve for x
   x = 133,241,060,484/172,282.50
6. Step 6: Final answer
   x = 773,387.09