Finding the Third Proportional to 678,816 and 1,340,496

Step by Step Solution

1. Step 1: Write the proportion equation
   678,816 : 1,340,496 = 1,340,496 : x
2. Step 2: Convert to fraction form
   678,816/1,340,496 = 1,340,496/x
3. Step 3: Cross multiply
   678,816x = 1,340,496 × 1,340,496
4. Step 4: Simplify right side
   678,816x = 1,796,929,526,016
5. Step 5: Solve for x
   x = 1,796,929,526,016/678,816
6. Step 6: Final answer
   x = 2,647,152.58