Finding the Third Proportional to 500.50 and 757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   500.50 : 757.50 = 757.50 : x
2. Step 2: Convert to fraction form
   500.50/757.50 = 757.50/x
3. Step 3: Cross multiply
   500.50x = 757.50 × 757.50
4. Step 4: Simplify right side
   500.50x = 573,806.25
5. Step 5: Solve for x
   x = 573,806.25/500.50
6. Step 6: Final answer
   x = 1,146.47