Finding the Third Proportional to 511,766 and 1,082,582

Step by Step Solution

1. Step 1: Write the proportion equation
   511,766 : 1,082,582 = 1,082,582 : x
2. Step 2: Convert to fraction form
   511,766/1,082,582 = 1,082,582/x
3. Step 3: Cross multiply
   511,766x = 1,082,582 × 1,082,582
4. Step 4: Simplify right side
   511,766x = 1,171,983,786,724
5. Step 5: Solve for x
   x = 1,171,983,786,724/511,766
6. Step 6: Final answer
   x = 2,290,077.47