Finding the Third Proportional to 383,868 and 826,054

Step by Step Solution

1. Step 1: Write the proportion equation
   383,868 : 826,054 = 826,054 : x
2. Step 2: Convert to fraction form
   383,868/826,054 = 826,054/x
3. Step 3: Cross multiply
   383,868x = 826,054 × 826,054
4. Step 4: Simplify right side
   383,868x = 682,365,210,916
5. Step 5: Solve for x
   x = 682,365,210,916/383,868
6. Step 6: Final answer
   x = 1,777,603.79