Finding the Third Proportional to 86,384 and 186,016

Step by Step Solution

1. Step 1: Write the proportion equation
   86,384 : 186,016 = 186,016 : x
2. Step 2: Convert to fraction form
   86,384/186,016 = 186,016/x
3. Step 3: Cross multiply
   86,384x = 186,016 × 186,016
4. Step 4: Simplify right side
   86,384x = 34,601,952,256
5. Step 5: Solve for x
   x = 34,601,952,256/86,384
6. Step 6: Final answer
   x = 400,559.74