Finding the Third Proportional to 313,870 and 686,022

Step by Step Solution

1. Step 1: Write the proportion equation
   313,870 : 686,022 = 686,022 : x
2. Step 2: Convert to fraction form
   313,870/686,022 = 686,022/x
3. Step 3: Cross multiply
   313,870x = 686,022 × 686,022
4. Step 4: Simplify right side
   313,870x = 470,626,184,484
5. Step 5: Solve for x
   x = 470,626,184,484/313,870
6. Step 6: Final answer
   x = 1,499,430.29