Finding the Third Proportional to 54,266 and 116,320

Step by Step Solution

1. Step 1: Write the proportion equation
   54,266 : 116,320 = 116,320 : x
2. Step 2: Convert to fraction form
   54,266/116,320 = 116,320/x
3. Step 3: Cross multiply
   54,266x = 116,320 × 116,320
4. Step 4: Simplify right side
   54,266x = 13,530,342,400
5. Step 5: Solve for x
   x = 13,530,342,400/54,266
6. Step 6: Final answer
   x = 249,333.70