Finding the Third Proportional to 105.50 and 198.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105.50 : 198.25 = 198.25 : x
2. Step 2: Convert to fraction form
   105.50/198.25 = 198.25/x
3. Step 3: Cross multiply
   105.50x = 198.25 × 198.25
4. Step 4: Simplify right side
   105.50x = 39,303.06
5. Step 5: Solve for x
   x = 39,303.06/105.50
6. Step 6: Final answer
   x = 372.54