Finding the Third Proportional to 584,406 and 1,257,584

Step by Step Solution

1. Step 1: Write the proportion equation
   584,406 : 1,257,584 = 1,257,584 : x
2. Step 2: Convert to fraction form
   584,406/1,257,584 = 1,257,584/x
3. Step 3: Cross multiply
   584,406x = 1,257,584 × 1,257,584
4. Step 4: Simplify right side
   584,406x = 1,581,517,517,056
5. Step 5: Solve for x
   x = 1,581,517,517,056/584,406
6. Step 6: Final answer
   x = 2,706,196.58