Finding the Third Proportional to 82,017 and 179,352

Step by Step Solution

1. Step 1: Write the proportion equation
   82,017 : 179,352 = 179,352 : x
2. Step 2: Convert to fraction form
   82,017/179,352 = 179,352/x
3. Step 3: Cross multiply
   82,017x = 179,352 × 179,352
4. Step 4: Simplify right side
   82,017x = 32,167,139,904
5. Step 5: Solve for x
   x = 32,167,139,904/82,017
6. Step 6: Final answer
   x = 392,200.88