Finding the Third Proportional to 82,224 and 179,936

Step by Step Solution

1. Step 1: Write the proportion equation
   82,224 : 179,936 = 179,936 : x
2. Step 2: Convert to fraction form
   82,224/179,936 = 179,936/x
3. Step 3: Cross multiply
   82,224x = 179,936 × 179,936
4. Step 4: Simplify right side
   82,224x = 32,376,964,096
5. Step 5: Solve for x
   x = 32,376,964,096/82,224
6. Step 6: Final answer
   x = 393,765.37