Finding the Third Proportional to 110.53 and 169.59

Step by Step Solution

1. Step 1: Write the proportion equation
   110.53 : 169.59 = 169.59 : x
2. Step 2: Convert to fraction form
   110.53/169.59 = 169.59/x
3. Step 3: Cross multiply
   110.53x = 169.59 × 169.59
4. Step 4: Simplify right side
   110.53x = 28,762.04
5. Step 5: Solve for x
   x = 28,762.04/110.53
6. Step 6: Final answer
   x = 260.22