Finding the Third Proportional to 380,082 and 825,874

Step by Step Solution

1. Step 1: Write the proportion equation
   380,082 : 825,874 = 825,874 : x
2. Step 2: Convert to fraction form
   380,082/825,874 = 825,874/x
3. Step 3: Cross multiply
   380,082x = 825,874 × 825,874
4. Step 4: Simplify right side
   380,082x = 682,067,863,876
5. Step 5: Solve for x
   x = 682,067,863,876/380,082
6. Step 6: Final answer
   x = 1,794,528.19