Finding the Third Proportional to 380,055 and 825,822

Step by Step Solution

1. Step 1: Write the proportion equation
   380,055 : 825,822 = 825,822 : x
2. Step 2: Convert to fraction form
   380,055/825,822 = 825,822/x
3. Step 3: Cross multiply
   380,055x = 825,822 × 825,822
4. Step 4: Simplify right side
   380,055x = 681,981,975,684
5. Step 5: Solve for x
   x = 681,981,975,684/380,055
6. Step 6: Final answer
   x = 1,794,429.69