Finding the Third Proportional to 500,643 and 1,036,774

Step by Step Solution

1. Step 1: Write the proportion equation
   500,643 : 1,036,774 = 1,036,774 : x
2. Step 2: Convert to fraction form
   500,643/1,036,774 = 1,036,774/x
3. Step 3: Cross multiply
   500,643x = 1,036,774 × 1,036,774
4. Step 4: Simplify right side
   500,643x = 1,074,900,327,076
5. Step 5: Solve for x
   x = 1,074,900,327,076/500,643
6. Step 6: Final answer
   x = 2,147,039.56