Finding the Third Proportional to 111.38 and 231.75

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 231.75 = 231.75 : x
2. Step 2: Convert to fraction form
   111.38/231.75 = 231.75/x
3. Step 3: Cross multiply
   111.38x = 231.75 × 231.75
4. Step 4: Simplify right side
   111.38x = 53,708.06
5. Step 5: Solve for x
   x = 53,708.06/111.38
6. Step 6: Final answer
   x = 482.23