Finding the Third Proportional to 81,771 and 179,094

Step by Step Solution

1. Step 1: Write the proportion equation
   81,771 : 179,094 = 179,094 : x
2. Step 2: Convert to fraction form
   81,771/179,094 = 179,094/x
3. Step 3: Cross multiply
   81,771x = 179,094 × 179,094
4. Step 4: Simplify right side
   81,771x = 32,074,660,836
5. Step 5: Solve for x
   x = 32,074,660,836/81,771
6. Step 6: Final answer
   x = 392,249.83