Finding the Third Proportional to 53,618 and 116,452

Step by Step Solution

1. Step 1: Write the proportion equation
   53,618 : 116,452 = 116,452 : x
2. Step 2: Convert to fraction form
   53,618/116,452 = 116,452/x
3. Step 3: Cross multiply
   53,618x = 116,452 × 116,452
4. Step 4: Simplify right side
   53,618x = 13,561,068,304
5. Step 5: Solve for x
   x = 13,561,068,304/53,618
6. Step 6: Final answer
   x = 252,920.07