Finding the Third Proportional to 498.97 and 748.83

Step by Step Solution

1. Step 1: Write the proportion equation
   498.97 : 748.83 = 748.83 : x
2. Step 2: Convert to fraction form
   498.97/748.83 = 748.83/x
3. Step 3: Cross multiply
   498.97x = 748.83 × 748.83
4. Step 4: Simplify right side
   498.97x = 560,743.56
5. Step 5: Solve for x
   x = 560,743.56/498.97
6. Step 6: Final answer
   x = 1,123.80