Finding the Third Proportional to 196.75 and 447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196.75 : 447.50 = 447.50 : x
2. Step 2: Convert to fraction form
   196.75/447.50 = 447.50/x
3. Step 3: Cross multiply
   196.75x = 447.50 × 447.50
4. Step 4: Simplify right side
   196.75x = 200,256.25
5. Step 5: Solve for x
   x = 200,256.25/196.75
6. Step 6: Final answer
   x = 1,017.82