Finding the Third Proportional to 825,800 and 1,206,824

Step by Step Solution

1. Step 1: Write the proportion equation
   825,800 : 1,206,824 = 1,206,824 : x
2. Step 2: Convert to fraction form
   825,800/1,206,824 = 1,206,824/x
3. Step 3: Cross multiply
   825,800x = 1,206,824 × 1,206,824
4. Step 4: Simplify right side
   825,800x = 1,456,424,166,976
5. Step 5: Solve for x
   x = 1,456,424,166,976/825,800
6. Step 6: Final answer
   x = 1,763,652.42