Finding the Third Proportional to 54,020 and 116,680

Step by Step Solution

1. Step 1: Write the proportion equation
   54,020 : 116,680 = 116,680 : x
2. Step 2: Convert to fraction form
   54,020/116,680 = 116,680/x
3. Step 3: Cross multiply
   54,020x = 116,680 × 116,680
4. Step 4: Simplify right side
   54,020x = 13,614,222,400
5. Step 5: Solve for x
   x = 13,614,222,400/54,020
6. Step 6: Final answer
   x = 252,021.89