Finding the Third Proportional to 827,865 and 1,786,372

Step by Step Solution

1. Step 1: Write the proportion equation
   827,865 : 1,786,372 = 1,786,372 : x
2. Step 2: Convert to fraction form
   827,865/1,786,372 = 1,786,372/x
3. Step 3: Cross multiply
   827,865x = 1,786,372 × 1,786,372
4. Step 4: Simplify right side
   827,865x = 3,191,124,922,384
5. Step 5: Solve for x
   x = 3,191,124,922,384/827,865
6. Step 6: Final answer
   x = 3,854,644.08