Finding the Third Proportional to 47,568 and 98,016

Step by Step Solution

1. Step 1: Write the proportion equation
   47,568 : 98,016 = 98,016 : x
2. Step 2: Convert to fraction form
   47,568/98,016 = 98,016/x
3. Step 3: Cross multiply
   47,568x = 98,016 × 98,016
4. Step 4: Simplify right side
   47,568x = 9,607,136,256
5. Step 5: Solve for x
   x = 9,607,136,256/47,568
6. Step 6: Final answer
   x = 201,966.37