Finding the Third Proportional to 678,824 and 1,340,521

Step by Step Solution

1. Step 1: Write the proportion equation
   678,824 : 1,340,521 = 1,340,521 : x
2. Step 2: Convert to fraction form
   678,824/1,340,521 = 1,340,521/x
3. Step 3: Cross multiply
   678,824x = 1,340,521 × 1,340,521
4. Step 4: Simplify right side
   678,824x = 1,796,996,551,441
5. Step 5: Solve for x
   x = 1,796,996,551,441/678,824
6. Step 6: Final answer
   x = 2,647,220.12