Finding the Third Proportional to 105.33 and 161.86

Step by Step Solution

1. Step 1: Write the proportion equation
   105.33 : 161.86 = 161.86 : x
2. Step 2: Convert to fraction form
   105.33/161.86 = 161.86/x
3. Step 3: Cross multiply
   105.33x = 161.86 × 161.86
4. Step 4: Simplify right side
   105.33x = 26,198.46
5. Step 5: Solve for x
   x = 26,198.46/105.33
6. Step 6: Final answer
   x = 248.73