Finding the Third Proportional to 82,217 and 179,923

Step by Step Solution

1. Step 1: Write the proportion equation
   82,217 : 179,923 = 179,923 : x
2. Step 2: Convert to fraction form
   82,217/179,923 = 179,923/x
3. Step 3: Cross multiply
   82,217x = 179,923 × 179,923
4. Step 4: Simplify right side
   82,217x = 32,372,285,929
5. Step 5: Solve for x
   x = 32,372,285,929/82,217
6. Step 6: Final answer
   x = 393,742.00