Finding the Third Proportional to 500,641 and 1,036,751

Step by Step Solution

1. Step 1: Write the proportion equation
   500,641 : 1,036,751 = 1,036,751 : x
2. Step 2: Convert to fraction form
   500,641/1,036,751 = 1,036,751/x
3. Step 3: Cross multiply
   500,641x = 1,036,751 × 1,036,751
4. Step 4: Simplify right side
   500,641x = 1,074,852,636,001
5. Step 5: Solve for x
   x = 1,074,852,636,001/500,641
6. Step 6: Final answer
   x = 2,146,952.88