Finding the Third Proportional to 824,382 and 1,789,762

Step by Step Solution

1. Step 1: Write the proportion equation
   824,382 : 1,789,762 = 1,789,762 : x
2. Step 2: Convert to fraction form
   824,382/1,789,762 = 1,789,762/x
3. Step 3: Cross multiply
   824,382x = 1,789,762 × 1,789,762
4. Step 4: Simplify right side
   824,382x = 3,203,248,016,644
5. Step 5: Solve for x
   x = 3,203,248,016,644/824,382
6. Step 6: Final answer
   x = 3,885,635.56