Finding the Third Proportional to 395,676 and 584,820

Step by Step Solution

1. Step 1: Write the proportion equation
   395,676 : 584,820 = 584,820 : x
2. Step 2: Convert to fraction form
   395,676/584,820 = 584,820/x
3. Step 3: Cross multiply
   395,676x = 584,820 × 584,820
4. Step 4: Simplify right side
   395,676x = 342,014,432,400
5. Step 5: Solve for x
   x = 342,014,432,400/395,676
6. Step 6: Final answer
   x = 864,380.03