Finding the Third Proportional to 786,591 and 1,724,814

Step by Step Solution

1. Step 1: Write the proportion equation
   786,591 : 1,724,814 = 1,724,814 : x
2. Step 2: Convert to fraction form
   786,591/1,724,814 = 1,724,814/x
3. Step 3: Cross multiply
   786,591x = 1,724,814 × 1,724,814
4. Step 4: Simplify right side
   786,591x = 2,974,983,334,596
5. Step 5: Solve for x
   x = 2,974,983,334,596/786,591
6. Step 6: Final answer
   x = 3,782,122.27