Finding the Third Proportional to 409,795 and 839,822

Step by Step Solution

1. Step 1: Write the proportion equation
   409,795 : 839,822 = 839,822 : x
2. Step 2: Convert to fraction form
   409,795/839,822 = 839,822/x
3. Step 3: Cross multiply
   409,795x = 839,822 × 839,822
4. Step 4: Simplify right side
   409,795x = 705,300,991,684
5. Step 5: Solve for x
   x = 705,300,991,684/409,795
6. Step 6: Final answer
   x = 1,721,106.87