Finding the Third Proportional to 111.06 and 233.51

Step by Step Solution

1. Step 1: Write the proportion equation
   111.06 : 233.51 = 233.51 : x
2. Step 2: Convert to fraction form
   111.06/233.51 = 233.51/x
3. Step 3: Cross multiply
   111.06x = 233.51 × 233.51
4. Step 4: Simplify right side
   111.06x = 54,525.90
5. Step 5: Solve for x
   x = 54,525.90/111.06
6. Step 6: Final answer
   x = 490.97