Finding the Third Proportional to 500,638 and 1,036,764

Step by Step Solution

1. Step 1: Write the proportion equation
   500,638 : 1,036,764 = 1,036,764 : x
2. Step 2: Convert to fraction form
   500,638/1,036,764 = 1,036,764/x
3. Step 3: Cross multiply
   500,638x = 1,036,764 × 1,036,764
4. Step 4: Simplify right side
   500,638x = 1,074,879,591,696
5. Step 5: Solve for x
   x = 1,074,879,591,696/500,638
6. Step 6: Final answer
   x = 2,147,019.59