Finding the Third Proportional to 105.38 and 157.31

Step by Step Solution

1. Step 1: Write the proportion equation
   105.38 : 157.31 = 157.31 : x
2. Step 2: Convert to fraction form
   105.38/157.31 = 157.31/x
3. Step 3: Cross multiply
   105.38x = 157.31 × 157.31
4. Step 4: Simplify right side
   105.38x = 24,747.22
5. Step 5: Solve for x
   x = 24,747.22/105.38
6. Step 6: Final answer
   x = 234.85