Finding the Third Proportional to 109.50 and 166.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109.50 : 166.25 = 166.25 : x
2. Step 2: Convert to fraction form
   109.50/166.25 = 166.25/x
3. Step 3: Cross multiply
   109.50x = 166.25 × 166.25
4. Step 4: Simplify right side
   109.50x = 27,639.06
5. Step 5: Solve for x
   x = 27,639.06/109.50
6. Step 6: Final answer
   x = 252.41