Finding the Third Proportional to 511,764 and 1,082,578

Step by Step Solution

1. Step 1: Write the proportion equation
   511,764 : 1,082,578 = 1,082,578 : x
2. Step 2: Convert to fraction form
   511,764/1,082,578 = 1,082,578/x
3. Step 3: Cross multiply
   511,764x = 1,082,578 × 1,082,578
4. Step 4: Simplify right side
   511,764x = 1,171,975,126,084
5. Step 5: Solve for x
   x = 1,171,975,126,084/511,764
6. Step 6: Final answer
   x = 2,290,069.50