Finding the Third Proportional to 340.31 and 496.69

Step by Step Solution

1. Step 1: Write the proportion equation
   340.31 : 496.69 = 496.69 : x
2. Step 2: Convert to fraction form
   340.31/496.69 = 496.69/x
3. Step 3: Cross multiply
   340.31x = 496.69 × 496.69
4. Step 4: Simplify right side
   340.31x = 246,698.47
5. Step 5: Solve for x
   x = 246,698.47/340.31
6. Step 6: Final answer
   x = 724.92