Finding the Third Proportional to 82,674 and 178,227

Step by Step Solution

1. Step 1: Write the proportion equation
   82,674 : 178,227 = 178,227 : x
2. Step 2: Convert to fraction form
   82,674/178,227 = 178,227/x
3. Step 3: Cross multiply
   82,674x = 178,227 × 178,227
4. Step 4: Simplify right side
   82,674x = 31,764,863,529
5. Step 5: Solve for x
   x = 31,764,863,529/82,674
6. Step 6: Final answer
   x = 384,218.30