Finding the Third Proportional to 379,826 and 820,564

Step by Step Solution

1. Step 1: Write the proportion equation
   379,826 : 820,564 = 820,564 : x
2. Step 2: Convert to fraction form
   379,826/820,564 = 820,564/x
3. Step 3: Cross multiply
   379,826x = 820,564 × 820,564
4. Step 4: Simplify right side
   379,826x = 673,325,278,096
5. Step 5: Solve for x
   x = 673,325,278,096/379,826
6. Step 6: Final answer
   x = 1,772,720.35