Finding the Third Proportional to 493.59 and 725.20

Step by Step Solution

1. Step 1: Write the proportion equation
   493.59 : 725.20 = 725.20 : x
2. Step 2: Convert to fraction form
   493.59/725.20 = 725.20/x
3. Step 3: Cross multiply
   493.59x = 725.20 × 725.20
4. Step 4: Simplify right side
   493.59x = 525,919.57
5. Step 5: Solve for x
   x = 525,919.57/493.59
6. Step 6: Final answer
   x = 1,065.49