Finding the Third Proportional to 584,589 and 1,253,742

Step by Step Solution

1. Step 1: Write the proportion equation
   584,589 : 1,253,742 = 1,253,742 : x
2. Step 2: Convert to fraction form
   584,589/1,253,742 = 1,253,742/x
3. Step 3: Cross multiply
   584,589x = 1,253,742 × 1,253,742
4. Step 4: Simplify right side
   584,589x = 1,571,869,002,564
5. Step 5: Solve for x
   x = 1,571,869,002,564/584,589
6. Step 6: Final answer
   x = 2,688,844.65