Finding the Third Proportional to 824,384 and 1,789,766

Step by Step Solution

1. Step 1: Write the proportion equation
   824,384 : 1,789,766 = 1,789,766 : x
2. Step 2: Convert to fraction form
   824,384/1,789,766 = 1,789,766/x
3. Step 3: Cross multiply
   824,384x = 1,789,766 × 1,789,766
4. Step 4: Simplify right side
   824,384x = 3,203,262,334,756
5. Step 5: Solve for x
   x = 3,203,262,334,756/824,384
6. Step 6: Final answer
   x = 3,885,643.50