Finding the Third Proportional to 53,891 and 116,386

Step by Step Solution

1. Step 1: Write the proportion equation
   53,891 : 116,386 = 116,386 : x
2. Step 2: Convert to fraction form
   53,891/116,386 = 116,386/x
3. Step 3: Cross multiply
   53,891x = 116,386 × 116,386
4. Step 4: Simplify right side
   53,891x = 13,545,700,996
5. Step 5: Solve for x
   x = 13,545,700,996/53,891
6. Step 6: Final answer
   x = 251,353.68