Finding the Third Proportional to 362.25 and 520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   362.25 : 520.50 = 520.50 : x
2. Step 2: Convert to fraction form
   362.25/520.50 = 520.50/x
3. Step 3: Cross multiply
   362.25x = 520.50 × 520.50
4. Step 4: Simplify right side
   362.25x = 270,920.25
5. Step 5: Solve for x
   x = 270,920.25/362.25
6. Step 6: Final answer
   x = 747.88