Finding the Third Proportional to 106.92 and 167.59

Step by Step Solution

1. Step 1: Write the proportion equation
   106.92 : 167.59 = 167.59 : x
2. Step 2: Convert to fraction form
   106.92/167.59 = 167.59/x
3. Step 3: Cross multiply
   106.92x = 167.59 × 167.59
4. Step 4: Simplify right side
   106.92x = 28,086.08
5. Step 5: Solve for x
   x = 28,086.08/106.92
6. Step 6: Final answer
   x = 262.68