Finding the Third Proportional to 500,458 and 1,036,405

Step by Step Solution

1. Step 1: Write the proportion equation
   500,458 : 1,036,405 = 1,036,405 : x
2. Step 2: Convert to fraction form
   500,458/1,036,405 = 1,036,405/x
3. Step 3: Cross multiply
   500,458x = 1,036,405 × 1,036,405
4. Step 4: Simplify right side
   500,458x = 1,074,135,324,025
5. Step 5: Solve for x
   x = 1,074,135,324,025/500,458
6. Step 6: Final answer
   x = 2,146,304.63