Finding the Third Proportional to 196.50 and 419.25

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 419.25 = 419.25 : x
2. Step 2: Convert to fraction form
   196.50/419.25 = 419.25/x
3. Step 3: Cross multiply
   196.50x = 419.25 × 419.25
4. Step 4: Simplify right side
   196.50x = 175,770.56
5. Step 5: Solve for x
   x = 175,770.56/196.50
6. Step 6: Final answer
   x = 894.51