Finding the Third Proportional to 501,372 and 823,040

Step by Step Solution

1. Step 1: Write the proportion equation
   501,372 : 823,040 = 823,040 : x
2. Step 2: Convert to fraction form
   501,372/823,040 = 823,040/x
3. Step 3: Cross multiply
   501,372x = 823,040 × 823,040
4. Step 4: Simplify right side
   501,372x = 677,394,841,600
5. Step 5: Solve for x
   x = 677,394,841,600/501,372
6. Step 6: Final answer
   x = 1,351,082.31