Finding the Third Proportional to 85,680 and 128,016

Step by Step Solution

1. Step 1: Write the proportion equation
   85,680 : 128,016 = 128,016 : x
2. Step 2: Convert to fraction form
   85,680/128,016 = 128,016/x
3. Step 3: Cross multiply
   85,680x = 128,016 × 128,016
4. Step 4: Simplify right side
   85,680x = 16,388,096,256
5. Step 5: Solve for x
   x = 16,388,096,256/85,680
6. Step 6: Final answer
   x = 191,270.96