Finding the Third Proportional to 196,826 and 419,428

Step by Step Solution

1. Step 1: Write the proportion equation
   196,826 : 419,428 = 419,428 : x
2. Step 2: Convert to fraction form
   196,826/419,428 = 419,428/x
3. Step 3: Cross multiply
   196,826x = 419,428 × 419,428
4. Step 4: Simplify right side
   196,826x = 175,919,847,184
5. Step 5: Solve for x
   x = 175,919,847,184/196,826
6. Step 6: Final answer
   x = 893,783.58