Finding the Third Proportional to 111.69 and 235.72

Step by Step Solution

1. Step 1: Write the proportion equation
   111.69 : 235.72 = 235.72 : x
2. Step 2: Convert to fraction form
   111.69/235.72 = 235.72/x
3. Step 3: Cross multiply
   111.69x = 235.72 × 235.72
4. Step 4: Simplify right side
   111.69x = 55,565.17
5. Step 5: Solve for x
   x = 55,565.17/111.69
6. Step 6: Final answer
   x = 497.49