Finding the Third Proportional to 500,109 and 714,643

Step by Step Solution

1. Step 1: Write the proportion equation
   500,109 : 714,643 = 714,643 : x
2. Step 2: Convert to fraction form
   500,109/714,643 = 714,643/x
3. Step 3: Cross multiply
   500,109x = 714,643 × 714,643
4. Step 4: Simplify right side
   500,109x = 510,714,617,449
5. Step 5: Solve for x
   x = 510,714,617,449/500,109
6. Step 6: Final answer
   x = 1,021,206.61