Finding the Third Proportional to 105.56 and 158.94

Step by Step Solution

1. Step 1: Write the proportion equation
   105.56 : 158.94 = 158.94 : x
2. Step 2: Convert to fraction form
   105.56/158.94 = 158.94/x
3. Step 3: Cross multiply
   105.56x = 158.94 × 158.94
4. Step 4: Simplify right side
   105.56x = 25,261.13
5. Step 5: Solve for x
   x = 25,261.13/105.56
6. Step 6: Final answer
   x = 239.30