Finding the Third Proportional to 111.38 and 229.88

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 229.88 = 229.88 : x
2. Step 2: Convert to fraction form
   111.38/229.88 = 229.88/x
3. Step 3: Cross multiply
   111.38x = 229.88 × 229.88
4. Step 4: Simplify right side
   111.38x = 52,842.52
5. Step 5: Solve for x
   x = 52,842.52/111.38
6. Step 6: Final answer
   x = 474.46