Finding the Third Proportional to 500,647 and 1,036,782

Step by Step Solution

1. Step 1: Write the proportion equation
   500,647 : 1,036,782 = 1,036,782 : x
2. Step 2: Convert to fraction form
   500,647/1,036,782 = 1,036,782/x
3. Step 3: Cross multiply
   500,647x = 1,036,782 × 1,036,782
4. Step 4: Simplify right side
   500,647x = 1,074,916,915,524
5. Step 5: Solve for x
   x = 1,074,916,915,524/500,647
6. Step 6: Final answer
   x = 2,147,055.54