Finding the Third Proportional to 82,800 and 171,504

Step by Step Solution

1. Step 1: Write the proportion equation
   82,800 : 171,504 = 171,504 : x
2. Step 2: Convert to fraction form
   82,800/171,504 = 171,504/x
3. Step 3: Cross multiply
   82,800x = 171,504 × 171,504
4. Step 4: Simplify right side
   82,800x = 29,413,622,016
5. Step 5: Solve for x
   x = 29,413,622,016/82,800
6. Step 6: Final answer
   x = 355,236.98