Finding the Third Proportional to 1,206,869 and 1,789,416

Step by Step Solution

1. Step 1: Write the proportion equation
   1,206,869 : 1,789,416 = 1,789,416 : x
2. Step 2: Convert to fraction form
   1,206,869/1,789,416 = 1,789,416/x
3. Step 3: Cross multiply
   1,206,869x = 1,789,416 × 1,789,416
4. Step 4: Simplify right side
   1,206,869x = 3,202,009,621,056
5. Step 5: Solve for x
   x = 3,202,009,621,056/1,206,869
6. Step 6: Final answer
   x = 2,653,154.25