Finding the Third Proportional to 105.75 and 158.91

Step by Step Solution

1. Step 1: Write the proportion equation
   105.75 : 158.91 = 158.91 : x
2. Step 2: Convert to fraction form
   105.75/158.91 = 158.91/x
3. Step 3: Cross multiply
   105.75x = 158.91 × 158.91
4. Step 4: Simplify right side
   105.75x = 25,251.20
5. Step 5: Solve for x
   x = 25,251.20/105.75
6. Step 6: Final answer
   x = 238.78