Finding the Third Proportional to 55,120 and 118,016

Step by Step Solution

1. Step 1: Write the proportion equation
   55,120 : 118,016 = 118,016 : x
2. Step 2: Convert to fraction form
   55,120/118,016 = 118,016/x
3. Step 3: Cross multiply
   55,120x = 118,016 × 118,016
4. Step 4: Simplify right side
   55,120x = 13,927,776,256
5. Step 5: Solve for x
   x = 13,927,776,256/55,120
6. Step 6: Final answer
   x = 252,680.99