Finding the Third Proportional to 196,147 and 419,266

Step by Step Solution

1. Step 1: Write the proportion equation
   196,147 : 419,266 = 419,266 : x
2. Step 2: Convert to fraction form
   196,147/419,266 = 419,266/x
3. Step 3: Cross multiply
   196,147x = 419,266 × 419,266
4. Step 4: Simplify right side
   196,147x = 175,783,978,756
5. Step 5: Solve for x
   x = 175,783,978,756/196,147
6. Step 6: Final answer
   x = 896,184.90