Finding the Third Proportional to 82,037 and 179,259

Step by Step Solution

1. Step 1: Write the proportion equation
   82,037 : 179,259 = 179,259 : x
2. Step 2: Convert to fraction form
   82,037/179,259 = 179,259/x
3. Step 3: Cross multiply
   82,037x = 179,259 × 179,259
4. Step 4: Simplify right side
   82,037x = 32,133,789,081
5. Step 5: Solve for x
   x = 32,133,789,081/82,037
6. Step 6: Final answer
   x = 391,698.73