Finding the Third Proportional to 188,016 and 282,384

Step by Step Solution

1. Step 1: Write the proportion equation
   188,016 : 282,384 = 282,384 : x
2. Step 2: Convert to fraction form
   188,016/282,384 = 282,384/x
3. Step 3: Cross multiply
   188,016x = 282,384 × 282,384
4. Step 4: Simplify right side
   188,016x = 79,740,723,456
5. Step 5: Solve for x
   x = 79,740,723,456/188,016
6. Step 6: Final answer
   x = 424,116.69