Finding the Third Proportional to 500,578 and 1,036,641

Step by Step Solution

1. Step 1: Write the proportion equation
   500,578 : 1,036,641 = 1,036,641 : x
2. Step 2: Convert to fraction form
   500,578/1,036,641 = 1,036,641/x
3. Step 3: Cross multiply
   500,578x = 1,036,641 × 1,036,641
4. Step 4: Simplify right side
   500,578x = 1,074,624,562,881
5. Step 5: Solve for x
   x = 1,074,624,562,881/500,578
6. Step 6: Final answer
   x = 2,146,767.46