Finding the Third Proportional to 340.31 and 492.38

Step by Step Solution

1. Step 1: Write the proportion equation
   340.31 : 492.38 = 492.38 : x
2. Step 2: Convert to fraction form
   340.31/492.38 = 492.38/x
3. Step 3: Cross multiply
   340.31x = 492.38 × 492.38
4. Step 4: Simplify right side
   340.31x = 242,433.14
5. Step 5: Solve for x
   x = 242,433.14/340.31
6. Step 6: Final answer
   x = 712.38