Finding the Third Proportional to 54,434 and 116,356

Step by Step Solution

1. Step 1: Write the proportion equation
   54,434 : 116,356 = 116,356 : x
2. Step 2: Convert to fraction form
   54,434/116,356 = 116,356/x
3. Step 3: Cross multiply
   54,434x = 116,356 × 116,356
4. Step 4: Simplify right side
   54,434x = 13,538,718,736
5. Step 5: Solve for x
   x = 13,538,718,736/54,434
6. Step 6: Final answer
   x = 248,718.06