Finding the Third Proportional to 501,405 and 823,095

Step by Step Solution

1. Step 1: Write the proportion equation
   501,405 : 823,095 = 823,095 : x
2. Step 2: Convert to fraction form
   501,405/823,095 = 823,095/x
3. Step 3: Cross multiply
   501,405x = 823,095 × 823,095
4. Step 4: Simplify right side
   501,405x = 677,485,379,025
5. Step 5: Solve for x
   x = 677,485,379,025/501,405
6. Step 6: Final answer
   x = 1,351,173.96