Finding the Third Proportional to 512,280 and 823,096

Step by Step Solution

1. Step 1: Write the proportion equation
   512,280 : 823,096 = 823,096 : x
2. Step 2: Convert to fraction form
   512,280/823,096 = 823,096/x
3. Step 3: Cross multiply
   512,280x = 823,096 × 823,096
4. Step 4: Simplify right side
   512,280x = 677,487,025,216
5. Step 5: Solve for x
   x = 677,487,025,216/512,280
6. Step 6: Final answer
   x = 1,322,493.61