Finding the Third Proportional to 409,666 and 839,012

Step by Step Solution

1. Step 1: Write the proportion equation
   409,666 : 839,012 = 839,012 : x
2. Step 2: Convert to fraction form
   409,666/839,012 = 839,012/x
3. Step 3: Cross multiply
   409,666x = 839,012 × 839,012
4. Step 4: Simplify right side
   409,666x = 703,941,136,144
5. Step 5: Solve for x
   x = 703,941,136,144/409,666
6. Step 6: Final answer
   x = 1,718,329.41