Finding the Third Proportional to 827,168 and 1,786,384

Step by Step Solution

1. Step 1: Write the proportion equation
   827,168 : 1,786,384 = 1,786,384 : x
2. Step 2: Convert to fraction form
   827,168/1,786,384 = 1,786,384/x
3. Step 3: Cross multiply
   827,168x = 1,786,384 × 1,786,384
4. Step 4: Simplify right side
   827,168x = 3,191,167,795,456
5. Step 5: Solve for x
   x = 3,191,167,795,456/827,168
6. Step 6: Final answer
   x = 3,857,943.97