Finding the Third Proportional to 109.75 and 198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109.75 : 198.50 = 198.50 : x
2. Step 2: Convert to fraction form
   109.75/198.50 = 198.50/x
3. Step 3: Cross multiply
   109.75x = 198.50 × 198.50
4. Step 4: Simplify right side
   109.75x = 39,402.25
5. Step 5: Solve for x
   x = 39,402.25/109.75
6. Step 6: Final answer
   x = 359.02