Finding the Third Proportional to 111.38 and 241.69

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 241.69 = 241.69 : x
2. Step 2: Convert to fraction form
   111.38/241.69 = 241.69/x
3. Step 3: Cross multiply
   111.38x = 241.69 × 241.69
4. Step 4: Simplify right side
   111.38x = 58,412.85
5. Step 5: Solve for x
   x = 58,412.85/111.38
6. Step 6: Final answer
   x = 524.47