Finding the Third Proportional to 54,042 and 116,400

Step by Step Solution

1. Step 1: Write the proportion equation
   54,042 : 116,400 = 116,400 : x
2. Step 2: Convert to fraction form
   54,042/116,400 = 116,400/x
3. Step 3: Cross multiply
   54,042x = 116,400 × 116,400
4. Step 4: Simplify right side
   54,042x = 13,548,960,000
5. Step 5: Solve for x
   x = 13,548,960,000/54,042
6. Step 6: Final answer
   x = 250,711.67