Finding the Third Proportional to 503.72 and 724.92

Step by Step Solution

1. Step 1: Write the proportion equation
   503.72 : 724.92 = 724.92 : x
2. Step 2: Convert to fraction form
   503.72/724.92 = 724.92/x
3. Step 3: Cross multiply
   503.72x = 724.92 × 724.92
4. Step 4: Simplify right side
   503.72x = 525,511.72
5. Step 5: Solve for x
   x = 525,511.72/503.72
6. Step 6: Final answer
   x = 1,043.26