Finding the Third Proportional to 820,678 and 1,282,857

Step by Step Solution

1. Step 1: Write the proportion equation
   820,678 : 1,282,857 = 1,282,857 : x
2. Step 2: Convert to fraction form
   820,678/1,282,857 = 1,282,857/x
3. Step 3: Cross multiply
   820,678x = 1,282,857 × 1,282,857
4. Step 4: Simplify right side
   820,678x = 1,645,722,082,449
5. Step 5: Solve for x
   x = 1,645,722,082,449/820,678
6. Step 6: Final answer
   x = 2,005,320.09