Finding the Third Proportional to 829,568 and 1,819,832

Step by Step Solution

1. Step 1: Write the proportion equation
   829,568 : 1,819,832 = 1,819,832 : x
2. Step 2: Convert to fraction form
   829,568/1,819,832 = 1,819,832/x
3. Step 3: Cross multiply
   829,568x = 1,819,832 × 1,819,832
4. Step 4: Simplify right side
   829,568x = 3,311,788,508,224
5. Step 5: Solve for x
   x = 3,311,788,508,224/829,568
6. Step 6: Final answer
   x = 3,992,184.50