Finding the Third Proportional to 54,309 and 116,016

Step by Step Solution

1. Step 1: Write the proportion equation
   54,309 : 116,016 = 116,016 : x
2. Step 2: Convert to fraction form
   54,309/116,016 = 116,016/x
3. Step 3: Cross multiply
   54,309x = 116,016 × 116,016
4. Step 4: Simplify right side
   54,309x = 13,459,712,256
5. Step 5: Solve for x
   x = 13,459,712,256/54,309
6. Step 6: Final answer
   x = 247,835.76