Finding the Third Proportional to 511,768 and 1,082,586

Step by Step Solution

1. Step 1: Write the proportion equation
   511,768 : 1,082,586 = 1,082,586 : x
2. Step 2: Convert to fraction form
   511,768/1,082,586 = 1,082,586/x
3. Step 3: Cross multiply
   511,768x = 1,082,586 × 1,082,586
4. Step 4: Simplify right side
   511,768x = 1,171,992,447,396
5. Step 5: Solve for x
   x = 1,171,992,447,396/511,768
6. Step 6: Final answer
   x = 2,290,085.44