Finding the Third Proportional to 168.38 and 397.31

Step by Step Solution

1. Step 1: Write the proportion equation
   168.38 : 397.31 = 397.31 : x
2. Step 2: Convert to fraction form
   168.38/397.31 = 397.31/x
3. Step 3: Cross multiply
   168.38x = 397.31 × 397.31
4. Step 4: Simplify right side
   168.38x = 157,857.22
5. Step 5: Solve for x
   x = 157,857.22/168.38
6. Step 6: Final answer
   x = 937.53