Finding the Third Proportional to 111.75 and 229.13

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 229.13 = 229.13 : x
2. Step 2: Convert to fraction form
   111.75/229.13 = 229.13/x
3. Step 3: Cross multiply
   111.75x = 229.13 × 229.13
4. Step 4: Simplify right side
   111.75x = 52,498.27
5. Step 5: Solve for x
   x = 52,498.27/111.75
6. Step 6: Final answer
   x = 469.78