Finding the Third Proportional to 82,044 and 179,271

Step by Step Solution

1. Step 1: Write the proportion equation
   82,044 : 179,271 = 179,271 : x
2. Step 2: Convert to fraction form
   82,044/179,271 = 179,271/x
3. Step 3: Cross multiply
   82,044x = 179,271 × 179,271
4. Step 4: Simplify right side
   82,044x = 32,138,091,441
5. Step 5: Solve for x
   x = 32,138,091,441/82,044
6. Step 6: Final answer
   x = 391,717.75