Finding the Third Proportional to 54,198 and 118,231

Step by Step Solution

1. Step 1: Write the proportion equation
   54,198 : 118,231 = 118,231 : x
2. Step 2: Convert to fraction form
   54,198/118,231 = 118,231/x
3. Step 3: Cross multiply
   54,198x = 118,231 × 118,231
4. Step 4: Simplify right side
   54,198x = 13,978,569,361
5. Step 5: Solve for x
   x = 13,978,569,361/54,198
6. Step 6: Final answer
   x = 257,916.70