Finding the Third Proportional to 506.81 and 740.72

Step by Step Solution

1. Step 1: Write the proportion equation
   506.81 : 740.72 = 740.72 : x
2. Step 2: Convert to fraction form
   506.81/740.72 = 740.72/x
3. Step 3: Cross multiply
   506.81x = 740.72 × 740.72
4. Step 4: Simplify right side
   506.81x = 548,664.27
5. Step 5: Solve for x
   x = 548,664.27/506.81
6. Step 6: Final answer
   x = 1,082.58