Finding the Third Proportional to 498.38 and 758.81

Step by Step Solution

1. Step 1: Write the proportion equation
   498.38 : 758.81 = 758.81 : x
2. Step 2: Convert to fraction form
   498.38/758.81 = 758.81/x
3. Step 3: Cross multiply
   498.38x = 758.81 × 758.81
4. Step 4: Simplify right side
   498.38x = 575,796.41
5. Step 5: Solve for x
   x = 575,796.41/498.38
6. Step 6: Final answer
   x = 1,155.35