Finding the Third Proportional to 105.72 and 169.79

Step by Step Solution

1. Step 1: Write the proportion equation
   105.72 : 169.79 = 169.79 : x
2. Step 2: Convert to fraction form
   105.72/169.79 = 169.79/x
3. Step 3: Cross multiply
   105.72x = 169.79 × 169.79
4. Step 4: Simplify right side
   105.72x = 28,829.15
5. Step 5: Solve for x
   x = 28,829.15/105.72
6. Step 6: Final answer
   x = 272.70