Finding the Third Proportional to 1,382,820 and 2,258,006

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382,820 : 2,258,006 = 2,258,006 : x
2. Step 2: Convert to fraction form
   1,382,820/2,258,006 = 2,258,006/x
3. Step 3: Cross multiply
   1,382,820x = 2,258,006 × 2,258,006
4. Step 4: Simplify right side
   1,382,820x = 5,098,591,096,036
5. Step 5: Solve for x
   x = 5,098,591,096,036/1,382,820
6. Step 6: Final answer
   x = 3,687,096.73