Finding the Third Proportional to 82,021 and 179,360

Step by Step Solution

1. Step 1: Write the proportion equation
   82,021 : 179,360 = 179,360 : x
2. Step 2: Convert to fraction form
   82,021/179,360 = 179,360/x
3. Step 3: Cross multiply
   82,021x = 179,360 × 179,360
4. Step 4: Simplify right side
   82,021x = 32,170,009,600
5. Step 5: Solve for x
   x = 32,170,009,600/82,021
6. Step 6: Final answer
   x = 392,216.74