Finding the Third Proportional to 54,696 and 118,142

Step by Step Solution

1. Step 1: Write the proportion equation
   54,696 : 118,142 = 118,142 : x
2. Step 2: Convert to fraction form
   54,696/118,142 = 118,142/x
3. Step 3: Cross multiply
   54,696x = 118,142 × 118,142
4. Step 4: Simplify right side
   54,696x = 13,957,532,164
5. Step 5: Solve for x
   x = 13,957,532,164/54,696
6. Step 6: Final answer
   x = 255,183.78