Finding the Third Proportional to 501,228 and 822,840

Step by Step Solution

1. Step 1: Write the proportion equation
   501,228 : 822,840 = 822,840 : x
2. Step 2: Convert to fraction form
   501,228/822,840 = 822,840/x
3. Step 3: Cross multiply
   501,228x = 822,840 × 822,840
4. Step 4: Simplify right side
   501,228x = 677,065,665,600
5. Step 5: Solve for x
   x = 677,065,665,600/501,228
6. Step 6: Final answer
   x = 1,350,813.73