Finding the Third Proportional to 340.31 and 500.06

Step by Step Solution

1. Step 1: Write the proportion equation
   340.31 : 500.06 = 500.06 : x
2. Step 2: Convert to fraction form
   340.31/500.06 = 500.06/x
3. Step 3: Cross multiply
   340.31x = 500.06 × 500.06
4. Step 4: Simplify right side
   340.31x = 250,062.50
5. Step 5: Solve for x
   x = 250,062.50/340.31
6. Step 6: Final answer
   x = 734.80