Finding the Third Proportional to 54,108 and 116,538.75

Step by Step Solution

1. Step 1: Write the proportion equation
   54,108 : 116,538.75 = 116,538.75 : x
2. Step 2: Convert to fraction form
   54,108/116,538.75 = 116,538.75/x
3. Step 3: Cross multiply
   54,108x = 116,538.75 × 116,538.75
4. Step 4: Simplify right side
   54,108x = 13,581,280,251.56
5. Step 5: Solve for x
   x = 13,581,280,251.56/54,108
6. Step 6: Final answer
   x = 251,003.18