Finding the Third Proportional to 54,886 and 114,078

Step by Step Solution

1. Step 1: Write the proportion equation
   54,886 : 114,078 = 114,078 : x
2. Step 2: Convert to fraction form
   54,886/114,078 = 114,078/x
3. Step 3: Cross multiply
   54,886x = 114,078 × 114,078
4. Step 4: Simplify right side
   54,886x = 13,013,790,084
5. Step 5: Solve for x
   x = 13,013,790,084/54,886
6. Step 6: Final answer
   x = 237,105.82