Finding the Third Proportional to 109.25 and 169.88

Step by Step Solution

1. Step 1: Write the proportion equation
   109.25 : 169.88 = 169.88 : x
2. Step 2: Convert to fraction form
   109.25/169.88 = 169.88/x
3. Step 3: Cross multiply
   109.25x = 169.88 × 169.88
4. Step 4: Simplify right side
   109.25x = 28,857.52
5. Step 5: Solve for x
   x = 28,857.52/109.25
6. Step 6: Final answer
   x = 264.14