Finding the Third Proportional to 680,435 and 1,464,871

Step by Step Solution

1. Step 1: Write the proportion equation
   680,435 : 1,464,871 = 1,464,871 : x
2. Step 2: Convert to fraction form
   680,435/1,464,871 = 1,464,871/x
3. Step 3: Cross multiply
   680,435x = 1,464,871 × 1,464,871
4. Step 4: Simplify right side
   680,435x = 2,145,847,046,641
5. Step 5: Solve for x
   x = 2,145,847,046,641/680,435
6. Step 6: Final answer
   x = 3,153,640.02