Finding the Third Proportional to 54,696 and 118,144

Step by Step Solution

1. Step 1: Write the proportion equation
   54,696 : 118,144 = 118,144 : x
2. Step 2: Convert to fraction form
   54,696/118,144 = 118,144/x
3. Step 3: Cross multiply
   54,696x = 118,144 × 118,144
4. Step 4: Simplify right side
   54,696x = 13,958,004,736
5. Step 5: Solve for x
   x = 13,958,004,736/54,696
6. Step 6: Final answer
   x = 255,192.42