Finding the Third Proportional to 105.33 and 159.89

Step by Step Solution

1. Step 1: Write the proportion equation
   105.33 : 159.89 = 159.89 : x
2. Step 2: Convert to fraction form
   105.33/159.89 = 159.89/x
3. Step 3: Cross multiply
   105.33x = 159.89 × 159.89
4. Step 4: Simplify right side
   105.33x = 25,565.01
5. Step 5: Solve for x
   x = 25,565.01/105.33
6. Step 6: Final answer
   x = 242.72