Finding the Third Proportional to 83,682 and 182,128

Step by Step Solution

1. Step 1: Write the proportion equation
   83,682 : 182,128 = 182,128 : x
2. Step 2: Convert to fraction form
   83,682/182,128 = 182,128/x
3. Step 3: Cross multiply
   83,682x = 182,128 × 182,128
4. Step 4: Simplify right side
   83,682x = 33,170,608,384
5. Step 5: Solve for x
   x = 33,170,608,384/83,682
6. Step 6: Final answer
   x = 396,388.81