Finding the Third Proportional to 105.75 and 146.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105.75 : 146.25 = 146.25 : x
2. Step 2: Convert to fraction form
   105.75/146.25 = 146.25/x
3. Step 3: Cross multiply
   105.75x = 146.25 × 146.25
4. Step 4: Simplify right side
   105.75x = 21,389.06
5. Step 5: Solve for x
   x = 21,389.06/105.75
6. Step 6: Final answer
   x = 202.26