Finding the Third Proportional to 477.98 and 724.78

Step by Step Solution

1. Step 1: Write the proportion equation
   477.98 : 724.78 = 724.78 : x
2. Step 2: Convert to fraction form
   477.98/724.78 = 724.78/x
3. Step 3: Cross multiply
   477.98x = 724.78 × 724.78
4. Step 4: Simplify right side
   477.98x = 525,307.86
5. Step 5: Solve for x
   x = 525,307.86/477.98
6. Step 6: Final answer
   x = 1,099.01