Finding the Third Proportional to 584,408 and 1,257,588

Step by Step Solution

1. Step 1: Write the proportion equation
   584,408 : 1,257,588 = 1,257,588 : x
2. Step 2: Convert to fraction form
   584,408/1,257,588 = 1,257,588/x
3. Step 3: Cross multiply
   584,408x = 1,257,588 × 1,257,588
4. Step 4: Simplify right side
   584,408x = 1,581,527,577,744
5. Step 5: Solve for x
   x = 1,581,527,577,744/584,408
6. Step 6: Final answer
   x = 2,706,204.53