Finding the Third Proportional to 105.75 and 217.88

Step by Step Solution

1. Step 1: Write the proportion equation
   105.75 : 217.88 = 217.88 : x
2. Step 2: Convert to fraction form
   105.75/217.88 = 217.88/x
3. Step 3: Cross multiply
   105.75x = 217.88 × 217.88
4. Step 4: Simplify right side
   105.75x = 47,469.52
5. Step 5: Solve for x
   x = 47,469.52/105.75
6. Step 6: Final answer
   x = 448.88