Finding the Third Proportional to 105.75 and 152.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105.75 : 152.25 = 152.25 : x
2. Step 2: Convert to fraction form
   105.75/152.25 = 152.25/x
3. Step 3: Cross multiply
   105.75x = 152.25 × 152.25
4. Step 4: Simplify right side
   105.75x = 23,180.06
5. Step 5: Solve for x
   x = 23,180.06/105.75
6. Step 6: Final answer
   x = 219.20