Finding the Third Proportional to 381,908 and 825,834

Step by Step Solution

1. Step 1: Write the proportion equation
   381,908 : 825,834 = 825,834 : x
2. Step 2: Convert to fraction form
   381,908/825,834 = 825,834/x
3. Step 3: Cross multiply
   381,908x = 825,834 × 825,834
4. Step 4: Simplify right side
   381,908x = 682,001,795,556
5. Step 5: Solve for x
   x = 682,001,795,556/381,908
6. Step 6: Final answer
   x = 1,785,775.10