Finding the Third Proportional to 824,944 and 1,809,296

Step by Step Solution

1. Step 1: Write the proportion equation
   824,944 : 1,809,296 = 1,809,296 : x
2. Step 2: Convert to fraction form
   824,944/1,809,296 = 1,809,296/x
3. Step 3: Cross multiply
   824,944x = 1,809,296 × 1,809,296
4. Step 4: Simplify right side
   824,944x = 3,273,552,015,616
5. Step 5: Solve for x
   x = 3,273,552,015,616/824,944
6. Step 6: Final answer
   x = 3,968,211.19