Finding the Third Proportional to 82,016 and 179,349

Step by Step Solution

1. Step 1: Write the proportion equation
   82,016 : 179,349 = 179,349 : x
2. Step 2: Convert to fraction form
   82,016/179,349 = 179,349/x
3. Step 3: Cross multiply
   82,016x = 179,349 × 179,349
4. Step 4: Simplify right side
   82,016x = 32,166,063,801
5. Step 5: Solve for x
   x = 32,166,063,801/82,016
6. Step 6: Final answer
   x = 392,192.55