Finding the Third Proportional to 54,891 and 114,088

Step by Step Solution

1. Step 1: Write the proportion equation
   54,891 : 114,088 = 114,088 : x
2. Step 2: Convert to fraction form
   54,891/114,088 = 114,088/x
3. Step 3: Cross multiply
   54,891x = 114,088 × 114,088
4. Step 4: Simplify right side
   54,891x = 13,016,071,744
5. Step 5: Solve for x
   x = 13,016,071,744/54,891
6. Step 6: Final answer
   x = 237,125.79