Finding the Third Proportional to 82,019 and 179,356

Step by Step Solution

1. Step 1: Write the proportion equation
   82,019 : 179,356 = 179,356 : x
2. Step 2: Convert to fraction form
   82,019/179,356 = 179,356/x
3. Step 3: Cross multiply
   82,019x = 179,356 × 179,356
4. Step 4: Simplify right side
   82,019x = 32,168,574,736
5. Step 5: Solve for x
   x = 32,168,574,736/82,019
6. Step 6: Final answer
   x = 392,208.81