Finding the Third Proportional to 83,736 and 182,016

Step by Step Solution

1. Step 1: Write the proportion equation
   83,736 : 182,016 = 182,016 : x
2. Step 2: Convert to fraction form
   83,736/182,016 = 182,016/x
3. Step 3: Cross multiply
   83,736x = 182,016 × 182,016
4. Step 4: Simplify right side
   83,736x = 33,129,824,256
5. Step 5: Solve for x
   x = 33,129,824,256/83,736
6. Step 6: Final answer
   x = 395,646.13