Finding the Third Proportional to 584,864 and 1,275,496

Step by Step Solution

1. Step 1: Write the proportion equation
   584,864 : 1,275,496 = 1,275,496 : x
2. Step 2: Convert to fraction form
   584,864/1,275,496 = 1,275,496/x
3. Step 3: Cross multiply
   584,864x = 1,275,496 × 1,275,496
4. Step 4: Simplify right side
   584,864x = 1,626,890,046,016
5. Step 5: Solve for x
   x = 1,626,890,046,016/584,864
6. Step 6: Final answer
   x = 2,781,655.30