Finding the Third Proportional to 196.50 and 287.25

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 287.25 = 287.25 : x
2. Step 2: Convert to fraction form
   196.50/287.25 = 287.25/x
3. Step 3: Cross multiply
   196.50x = 287.25 × 287.25
4. Step 4: Simplify right side
   196.50x = 82,512.56
5. Step 5: Solve for x
   x = 82,512.56/196.50
6. Step 6: Final answer
   x = 419.91