Finding the Third Proportional to 726,864 and 1,697,819

Step by Step Solution

1. Step 1: Write the proportion equation
   726,864 : 1,697,819 = 1,697,819 : x
2. Step 2: Convert to fraction form
   726,864/1,697,819 = 1,697,819/x
3. Step 3: Cross multiply
   726,864x = 1,697,819 × 1,697,819
4. Step 4: Simplify right side
   726,864x = 2,882,589,356,761
5. Step 5: Solve for x
   x = 2,882,589,356,761/726,864
6. Step 6: Final answer
   x = 3,965,789.14