Finding the Third Proportional to 82,227 and 179,832

Step by Step Solution

1. Step 1: Write the proportion equation
   82,227 : 179,832 = 179,832 : x
2. Step 2: Convert to fraction form
   82,227/179,832 = 179,832/x
3. Step 3: Cross multiply
   82,227x = 179,832 × 179,832
4. Step 4: Simplify right side
   82,227x = 32,339,548,224
5. Step 5: Solve for x
   x = 32,339,548,224/82,227
6. Step 6: Final answer
   x = 393,295.98