Finding the Third Proportional to 380,078 and 825,868

Step by Step Solution

1. Step 1: Write the proportion equation
   380,078 : 825,868 = 825,868 : x
2. Step 2: Convert to fraction form
   380,078/825,868 = 825,868/x
3. Step 3: Cross multiply
   380,078x = 825,868 × 825,868
4. Step 4: Simplify right side
   380,078x = 682,057,953,424
5. Step 5: Solve for x
   x = 682,057,953,424/380,078
6. Step 6: Final answer
   x = 1,794,521.00