Finding the Third Proportional to 340.31 and 499.78

Step by Step Solution

1. Step 1: Write the proportion equation
   340.31 : 499.78 = 499.78 : x
2. Step 2: Convert to fraction form
   340.31/499.78 = 499.78/x
3. Step 3: Cross multiply
   340.31x = 499.78 × 499.78
4. Step 4: Simplify right side
   340.31x = 249,781.30
5. Step 5: Solve for x
   x = 249,781.30/340.31
6. Step 6: Final answer
   x = 733.98