Finding the Third Proportional to 680,408 and 1,464,820

Step by Step Solution

1. Step 1: Write the proportion equation
   680,408 : 1,464,820 = 1,464,820 : x
2. Step 2: Convert to fraction form
   680,408/1,464,820 = 1,464,820/x
3. Step 3: Cross multiply
   680,408x = 1,464,820 × 1,464,820
4. Step 4: Simplify right side
   680,408x = 2,145,697,632,400
5. Step 5: Solve for x
   x = 2,145,697,632,400/680,408
6. Step 6: Final answer
   x = 3,153,545.57