Finding the Third Proportional to 584,396 and 1,257,564

Step by Step Solution

1. Step 1: Write the proportion equation
   584,396 : 1,257,564 = 1,257,564 : x
2. Step 2: Convert to fraction form
   584,396/1,257,564 = 1,257,564/x
3. Step 3: Cross multiply
   584,396x = 1,257,564 × 1,257,564
4. Step 4: Simplify right side
   584,396x = 1,581,467,214,096
5. Step 5: Solve for x
   x = 1,581,467,214,096/584,396
6. Step 6: Final answer
   x = 2,706,156.81