Finding the Third Proportional to 54,538 and 116,846

Step by Step Solution

1. Step 1: Write the proportion equation
   54,538 : 116,846 = 116,846 : x
2. Step 2: Convert to fraction form
   54,538/116,846 = 116,846/x
3. Step 3: Cross multiply
   54,538x = 116,846 × 116,846
4. Step 4: Simplify right side
   54,538x = 13,652,987,716
5. Step 5: Solve for x
   x = 13,652,987,716/54,538
6. Step 6: Final answer
   x = 250,338.99