Finding the Third Proportional to 105.75 and 155.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105.75 : 155.25 = 155.25 : x
2. Step 2: Convert to fraction form
   105.75/155.25 = 155.25/x
3. Step 3: Cross multiply
   105.75x = 155.25 × 155.25
4. Step 4: Simplify right side
   105.75x = 24,102.56
5. Step 5: Solve for x
   x = 24,102.56/105.75
6. Step 6: Final answer
   x = 227.92