Finding the Third Proportional to 196.50 and 220.75

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 220.75 = 220.75 : x
2. Step 2: Convert to fraction form
   196.50/220.75 = 220.75/x
3. Step 3: Cross multiply
   196.50x = 220.75 × 220.75
4. Step 4: Simplify right side
   196.50x = 48,730.56
5. Step 5: Solve for x
   x = 48,730.56/196.50
6. Step 6: Final answer
   x = 247.99