Finding the Third Proportional to 111.38 and 235.41

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 235.41 = 235.41 : x
2. Step 2: Convert to fraction form
   111.38/235.41 = 235.41/x
3. Step 3: Cross multiply
   111.38x = 235.41 × 235.41
4. Step 4: Simplify right side
   111.38x = 55,416.10
5. Step 5: Solve for x
   x = 55,416.10/111.38
6. Step 6: Final answer
   x = 497.56