Finding the Third Proportional to 678,826 and 1,340,516

Step by Step Solution

1. Step 1: Write the proportion equation
   678,826 : 1,340,516 = 1,340,516 : x
2. Step 2: Convert to fraction form
   678,826/1,340,516 = 1,340,516/x
3. Step 3: Cross multiply
   678,826x = 1,340,516 × 1,340,516
4. Step 4: Simplify right side
   678,826x = 1,796,983,146,256
5. Step 5: Solve for x
   x = 1,796,983,146,256/678,826
6. Step 6: Final answer
   x = 2,647,192.57