Finding the Third Proportional to 53,896 and 116,396

Step by Step Solution

1. Step 1: Write the proportion equation
   53,896 : 116,396 = 116,396 : x
2. Step 2: Convert to fraction form
   53,896/116,396 = 116,396/x
3. Step 3: Cross multiply
   53,896x = 116,396 × 116,396
4. Step 4: Simplify right side
   53,896x = 13,548,028,816
5. Step 5: Solve for x
   x = 13,548,028,816/53,896
6. Step 6: Final answer
   x = 251,373.55