Finding the Third Proportional to 111.38 and 169.59

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 169.59 = 169.59 : x
2. Step 2: Convert to fraction form
   111.38/169.59 = 169.59/x
3. Step 3: Cross multiply
   111.38x = 169.59 × 169.59
4. Step 4: Simplify right side
   111.38x = 28,762.04
5. Step 5: Solve for x
   x = 28,762.04/111.38
6. Step 6: Final answer
   x = 258.25