Finding the Third Proportional to 102,952.50 and 225,588

Step by Step Solution

1. Step 1: Write the proportion equation
   102,952.50 : 225,588 = 225,588 : x
2. Step 2: Convert to fraction form
   102,952.50/225,588 = 225,588/x
3. Step 3: Cross multiply
   102,952.50x = 225,588 × 225,588
4. Step 4: Simplify right side
   102,952.50x = 50,889,945,744
5. Step 5: Solve for x
   x = 50,889,945,744/102,952.50
6. Step 6: Final answer
   x = 494,305.10