Finding the Third Proportional to 380,256 and 820,800

Step by Step Solution

1. Step 1: Write the proportion equation
   380,256 : 820,800 = 820,800 : x
2. Step 2: Convert to fraction form
   380,256/820,800 = 820,800/x
3. Step 3: Cross multiply
   380,256x = 820,800 × 820,800
4. Step 4: Simplify right side
   380,256x = 673,712,640,000
5. Step 5: Solve for x
   x = 673,712,640,000/380,256
6. Step 6: Final answer
   x = 1,771,734.41