Finding the Third Proportional to 820,688 and 1,282,872

Step by Step Solution

1. Step 1: Write the proportion equation
   820,688 : 1,282,872 = 1,282,872 : x
2. Step 2: Convert to fraction form
   820,688/1,282,872 = 1,282,872/x
3. Step 3: Cross multiply
   820,688x = 1,282,872 × 1,282,872
4. Step 4: Simplify right side
   820,688x = 1,645,760,568,384
5. Step 5: Solve for x
   x = 1,645,760,568,384/820,688
6. Step 6: Final answer
   x = 2,005,342.55