Finding the Third Proportional to 109.25 and 167.69

Step by Step Solution

1. Step 1: Write the proportion equation
   109.25 : 167.69 = 167.69 : x
2. Step 2: Convert to fraction form
   109.25/167.69 = 167.69/x
3. Step 3: Cross multiply
   109.25x = 167.69 × 167.69
4. Step 4: Simplify right side
   109.25x = 28,119.10
5. Step 5: Solve for x
   x = 28,119.10/109.25
6. Step 6: Final answer
   x = 257.38