Finding the Third Proportional to 82,811 and 179,626

Step by Step Solution

1. Step 1: Write the proportion equation
   82,811 : 179,626 = 179,626 : x
2. Step 2: Convert to fraction form
   82,811/179,626 = 179,626/x
3. Step 3: Cross multiply
   82,811x = 179,626 × 179,626
4. Step 4: Simplify right side
   82,811x = 32,265,499,876
5. Step 5: Solve for x
   x = 32,265,499,876/82,811
6. Step 6: Final answer
   x = 389,628.19