Finding the Third Proportional to 80,826 and 178,494

Step by Step Solution

1. Step 1: Write the proportion equation
   80,826 : 178,494 = 178,494 : x
2. Step 2: Convert to fraction form
   80,826/178,494 = 178,494/x
3. Step 3: Cross multiply
   80,826x = 178,494 × 178,494
4. Step 4: Simplify right side
   80,826x = 31,860,108,036
5. Step 5: Solve for x
   x = 31,860,108,036/80,826
6. Step 6: Final answer
   x = 394,181.43