Finding the Third Proportional to 402.50 and 609.25

Step by Step Solution

1. Step 1: Write the proportion equation
   402.50 : 609.25 = 609.25 : x
2. Step 2: Convert to fraction form
   402.50/609.25 = 609.25/x
3. Step 3: Cross multiply
   402.50x = 609.25 × 609.25
4. Step 4: Simplify right side
   402.50x = 371,185.56
5. Step 5: Solve for x
   x = 371,185.56/402.50
6. Step 6: Final answer
   x = 922.20