Finding the Third Proportional to 584,496 and 1,257,768

Step by Step Solution

1. Step 1: Write the proportion equation
   584,496 : 1,257,768 = 1,257,768 : x
2. Step 2: Convert to fraction form
   584,496/1,257,768 = 1,257,768/x
3. Step 3: Cross multiply
   584,496x = 1,257,768 × 1,257,768
4. Step 4: Simplify right side
   584,496x = 1,581,980,341,824
5. Step 5: Solve for x
   x = 1,581,980,341,824/584,496
6. Step 6: Final answer
   x = 2,706,571.72