Finding the Third Proportional to 54,016 and 116,672

Step by Step Solution

1. Step 1: Write the proportion equation
   54,016 : 116,672 = 116,672 : x
2. Step 2: Convert to fraction form
   54,016/116,672 = 116,672/x
3. Step 3: Cross multiply
   54,016x = 116,672 × 116,672
4. Step 4: Simplify right side
   54,016x = 13,612,355,584
5. Step 5: Solve for x
   x = 13,612,355,584/54,016
6. Step 6: Final answer
   x = 252,005.99