Finding the Third Proportional to 105.38 and 231.41

Step by Step Solution

1. Step 1: Write the proportion equation
   105.38 : 231.41 = 231.41 : x
2. Step 2: Convert to fraction form
   105.38/231.41 = 231.41/x
3. Step 3: Cross multiply
   105.38x = 231.41 × 231.41
4. Step 4: Simplify right side
   105.38x = 53,548.85
5. Step 5: Solve for x
   x = 53,548.85/105.38
6. Step 6: Final answer
   x = 508.17