Finding the Third Proportional to 381,856 and 826,640

Step by Step Solution

1. Step 1: Write the proportion equation
   381,856 : 826,640 = 826,640 : x
2. Step 2: Convert to fraction form
   381,856/826,640 = 826,640/x
3. Step 3: Cross multiply
   381,856x = 826,640 × 826,640
4. Step 4: Simplify right side
   381,856x = 683,333,689,600
5. Step 5: Solve for x
   x = 683,333,689,600/381,856
6. Step 6: Final answer
   x = 1,789,506.23