Finding the Third Proportional to 823,204 and 1,803,824

Step by Step Solution

1. Step 1: Write the proportion equation
   823,204 : 1,803,824 = 1,803,824 : x
2. Step 2: Convert to fraction form
   823,204/1,803,824 = 1,803,824/x
3. Step 3: Cross multiply
   823,204x = 1,803,824 × 1,803,824
4. Step 4: Simplify right side
   823,204x = 3,253,781,022,976
5. Step 5: Solve for x
   x = 3,253,781,022,976/823,204
6. Step 6: Final answer
   x = 3,952,581.65