Finding the Third Proportional to 417.50 and 550.50

Step by Step Solution

1. Step 1: Write the proportion equation
   417.50 : 550.50 = 550.50 : x
2. Step 2: Convert to fraction form
   417.50/550.50 = 550.50/x
3. Step 3: Cross multiply
   417.50x = 550.50 × 550.50
4. Step 4: Simplify right side
   417.50x = 303,050.25
5. Step 5: Solve for x
   x = 303,050.25/417.50
6. Step 6: Final answer
   x = 725.87