Finding the Third Proportional to 131.38 and 203.31

Step by Step Solution

1. Step 1: Write the proportion equation
   131.38 : 203.31 = 203.31 : x
2. Step 2: Convert to fraction form
   131.38/203.31 = 203.31/x
3. Step 3: Cross multiply
   131.38x = 203.31 × 203.31
4. Step 4: Simplify right side
   131.38x = 41,335.97
5. Step 5: Solve for x
   x = 41,335.97/131.38
6. Step 6: Final answer
   x = 314.64