Finding the Third Proportional to 111.06 and 241.10

Step by Step Solution

1. Step 1: Write the proportion equation
   111.06 : 241.10 = 241.10 : x
2. Step 2: Convert to fraction form
   111.06/241.10 = 241.10/x
3. Step 3: Cross multiply
   111.06x = 241.10 × 241.10
4. Step 4: Simplify right side
   111.06x = 58,129.96
5. Step 5: Solve for x
   x = 58,129.96/111.06
6. Step 6: Final answer
   x = 523.42