Finding the Third Proportional to 512,272 and 823,082

Step by Step Solution

1. Step 1: Write the proportion equation
   512,272 : 823,082 = 823,082 : x
2. Step 2: Convert to fraction form
   512,272/823,082 = 823,082/x
3. Step 3: Cross multiply
   512,272x = 823,082 × 823,082
4. Step 4: Simplify right side
   512,272x = 677,463,978,724
5. Step 5: Solve for x
   x = 677,463,978,724/512,272
6. Step 6: Final answer
   x = 1,322,469.27