Finding the Third Proportional to 196.13 and 419.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.13 : 419.38 = 419.38 : x
2. Step 2: Convert to fraction form
   196.13/419.38 = 419.38/x
3. Step 3: Cross multiply
   196.13x = 419.38 × 419.38
4. Step 4: Simplify right side
   196.13x = 175,875.39
5. Step 5: Solve for x
   x = 175,875.39/196.13
6. Step 6: Final answer
   x = 896.75