Finding the Third Proportional to 682,638 and 1,466,364

Step by Step Solution

1. Step 1: Write the proportion equation
   682,638 : 1,466,364 = 1,466,364 : x
2. Step 2: Convert to fraction form
   682,638/1,466,364 = 1,466,364/x
3. Step 3: Cross multiply
   682,638x = 1,466,364 × 1,466,364
4. Step 4: Simplify right side
   682,638x = 2,150,223,380,496
5. Step 5: Solve for x
   x = 2,150,223,380,496/682,638
6. Step 6: Final answer
   x = 3,149,873.55