Finding the Third Proportional to 53,984 and 128,016

Step by Step Solution

1. Step 1: Write the proportion equation
   53,984 : 128,016 = 128,016 : x
2. Step 2: Convert to fraction form
   53,984/128,016 = 128,016/x
3. Step 3: Cross multiply
   53,984x = 128,016 × 128,016
4. Step 4: Simplify right side
   53,984x = 16,388,096,256
5. Step 5: Solve for x
   x = 16,388,096,256/53,984
6. Step 6: Final answer
   x = 303,573.21