Finding the Third Proportional to 82,647 and 179,028

Step by Step Solution

1. Step 1: Write the proportion equation
   82,647 : 179,028 = 179,028 : x
2. Step 2: Convert to fraction form
   82,647/179,028 = 179,028/x
3. Step 3: Cross multiply
   82,647x = 179,028 × 179,028
4. Step 4: Simplify right side
   82,647x = 32,051,024,784
5. Step 5: Solve for x
   x = 32,051,024,784/82,647
6. Step 6: Final answer
   x = 387,806.27