Finding the Third Proportional to 337.92 and 501.42

Step by Step Solution

1. Step 1: Write the proportion equation
   337.92 : 501.42 = 501.42 : x
2. Step 2: Convert to fraction form
   337.92/501.42 = 501.42/x
3. Step 3: Cross multiply
   337.92x = 501.42 × 501.42
4. Step 4: Simplify right side
   337.92x = 251,426.83
5. Step 5: Solve for x
   x = 251,426.83/337.92
6. Step 6: Final answer
   x = 744.04