Finding the Third Proportional to 54,146 and 116,908

Step by Step Solution

1. Step 1: Write the proportion equation
   54,146 : 116,908 = 116,908 : x
2. Step 2: Convert to fraction form
   54,146/116,908 = 116,908/x
3. Step 3: Cross multiply
   54,146x = 116,908 × 116,908
4. Step 4: Simplify right side
   54,146x = 13,667,480,464
5. Step 5: Solve for x
   x = 13,667,480,464/54,146
6. Step 6: Final answer
   x = 252,419.02