Finding the Third Proportional to 829,808 and 1,820,256

Step by Step Solution

1. Step 1: Write the proportion equation
   829,808 : 1,820,256 = 1,820,256 : x
2. Step 2: Convert to fraction form
   829,808/1,820,256 = 1,820,256/x
3. Step 3: Cross multiply
   829,808x = 1,820,256 × 1,820,256
4. Step 4: Simplify right side
   829,808x = 3,313,331,905,536
5. Step 5: Solve for x
   x = 3,313,331,905,536/829,808
6. Step 6: Final answer
   x = 3,992,889.81