Finding the Third Proportional to 726,869 and 1,697,832

Step by Step Solution

1. Step 1: Write the proportion equation
   726,869 : 1,697,832 = 1,697,832 : x
2. Step 2: Convert to fraction form
   726,869/1,697,832 = 1,697,832/x
3. Step 3: Cross multiply
   726,869x = 1,697,832 × 1,697,832
4. Step 4: Simplify right side
   726,869x = 2,882,633,500,224
5. Step 5: Solve for x
   x = 2,882,633,500,224/726,869
6. Step 6: Final answer
   x = 3,965,822.59