Finding the Third Proportional to 82,227 and 179,672

Step by Step Solution

1. Step 1: Write the proportion equation
   82,227 : 179,672 = 179,672 : x
2. Step 2: Convert to fraction form
   82,227/179,672 = 179,672/x
3. Step 3: Cross multiply
   82,227x = 179,672 × 179,672
4. Step 4: Simplify right side
   82,227x = 32,282,027,584
5. Step 5: Solve for x
   x = 32,282,027,584/82,227
6. Step 6: Final answer
   x = 392,596.44