Finding the Third Proportional to 500,665 and 1,042,747

Step by Step Solution

1. Step 1: Write the proportion equation
   500,665 : 1,042,747 = 1,042,747 : x
2. Step 2: Convert to fraction form
   500,665/1,042,747 = 1,042,747/x
3. Step 3: Cross multiply
   500,665x = 1,042,747 × 1,042,747
4. Step 4: Simplify right side
   500,665x = 1,087,321,306,009
5. Step 5: Solve for x
   x = 1,087,321,306,009/500,665
6. Step 6: Final answer
   x = 2,171,754.18