Finding the Third Proportional to 87,840 and 128,016

Step by Step Solution

1. Step 1: Write the proportion equation
   87,840 : 128,016 = 128,016 : x
2. Step 2: Convert to fraction form
   87,840/128,016 = 128,016/x
3. Step 3: Cross multiply
   87,840x = 128,016 × 128,016
4. Step 4: Simplify right side
   87,840x = 16,388,096,256
5. Step 5: Solve for x
   x = 16,388,096,256/87,840
6. Step 6: Final answer
   x = 186,567.58