Finding the Third Proportional to 53,897 and 116,398

Step by Step Solution

1. Step 1: Write the proportion equation
   53,897 : 116,398 = 116,398 : x
2. Step 2: Convert to fraction form
   53,897/116,398 = 116,398/x
3. Step 3: Cross multiply
   53,897x = 116,398 × 116,398
4. Step 4: Simplify right side
   53,897x = 13,548,494,404
5. Step 5: Solve for x
   x = 13,548,494,404/53,897
6. Step 6: Final answer
   x = 251,377.52