Finding the Third Proportional to 678,834 and 1,340,538

Step by Step Solution

1. Step 1: Write the proportion equation
   678,834 : 1,340,538 = 1,340,538 : x
2. Step 2: Convert to fraction form
   678,834/1,340,538 = 1,340,538/x
3. Step 3: Cross multiply
   678,834x = 1,340,538 × 1,340,538
4. Step 4: Simplify right side
   678,834x = 1,797,042,129,444
5. Step 5: Solve for x
   x = 1,797,042,129,444/678,834
6. Step 6: Final answer
   x = 2,647,248.27