Finding the Third Proportional to 500,666 and 1,042,768

Step by Step Solution

1. Step 1: Write the proportion equation
   500,666 : 1,042,768 = 1,042,768 : x
2. Step 2: Convert to fraction form
   500,666/1,042,768 = 1,042,768/x
3. Step 3: Cross multiply
   500,666x = 1,042,768 × 1,042,768
4. Step 4: Simplify right side
   500,666x = 1,087,365,101,824
5. Step 5: Solve for x
   x = 1,087,365,101,824/500,666
6. Step 6: Final answer
   x = 2,171,837.32