Finding the Third Proportional to 824,656 and 1,789,256

Step by Step Solution

1. Step 1: Write the proportion equation
   824,656 : 1,789,256 = 1,789,256 : x
2. Step 2: Convert to fraction form
   824,656/1,789,256 = 1,789,256/x
3. Step 3: Cross multiply
   824,656x = 1,789,256 × 1,789,256
4. Step 4: Simplify right side
   824,656x = 3,201,437,033,536
5. Step 5: Solve for x
   x = 3,201,437,033,536/824,656
6. Step 6: Final answer
   x = 3,882,148.48