Finding the Third Proportional to 492.38 and 703.31

Step by Step Solution

1. Step 1: Write the proportion equation
   492.38 : 703.31 = 703.31 : x
2. Step 2: Convert to fraction form
   492.38/703.31 = 703.31/x
3. Step 3: Cross multiply
   492.38x = 703.31 × 703.31
4. Step 4: Simplify right side
   492.38x = 494,648.47
5. Step 5: Solve for x
   x = 494,648.47/492.38
6. Step 6: Final answer
   x = 1,004.62