Finding the Third Proportional to 82,198 and 179,616

Step by Step Solution

1. Step 1: Write the proportion equation
   82,198 : 179,616 = 179,616 : x
2. Step 2: Convert to fraction form
   82,198/179,616 = 179,616/x
3. Step 3: Cross multiply
   82,198x = 179,616 × 179,616
4. Step 4: Simplify right side
   82,198x = 32,261,907,456
5. Step 5: Solve for x
   x = 32,261,907,456/82,198
6. Step 6: Final answer
   x = 392,490.18