Finding the Third Proportional to 514.69 and 724.78

Step by Step Solution

1. Step 1: Write the proportion equation
   514.69 : 724.78 = 724.78 : x
2. Step 2: Convert to fraction form
   514.69/724.78 = 724.78/x
3. Step 3: Cross multiply
   514.69x = 724.78 × 724.78
4. Step 4: Simplify right side
   514.69x = 525,307.86
5. Step 5: Solve for x
   x = 525,307.86/514.69
6. Step 6: Final answer
   x = 1,020.63