Finding the Third Proportional to 196.75 and 419.88

Step by Step Solution

1. Step 1: Write the proportion equation
   196.75 : 419.88 = 419.88 : x
2. Step 2: Convert to fraction form
   196.75/419.88 = 419.88/x
3. Step 3: Cross multiply
   196.75x = 419.88 × 419.88
4. Step 4: Simplify right side
   196.75x = 176,295.02
5. Step 5: Solve for x
   x = 176,295.02/196.75
6. Step 6: Final answer
   x = 896.04