Finding the Third Proportional to 381,906 and 825,830

Step by Step Solution

1. Step 1: Write the proportion equation
   381,906 : 825,830 = 825,830 : x
2. Step 2: Convert to fraction form
   381,906/825,830 = 825,830/x
3. Step 3: Cross multiply
   381,906x = 825,830 × 825,830
4. Step 4: Simplify right side
   381,906x = 681,995,188,900
5. Step 5: Solve for x
   x = 681,995,188,900/381,906
6. Step 6: Final answer
   x = 1,785,767.15