Finding the Third Proportional to 59,544 and 124,020

Step by Step Solution

1. Step 1: Write the proportion equation
   59,544 : 124,020 = 124,020 : x
2. Step 2: Convert to fraction form
   59,544/124,020 = 124,020/x
3. Step 3: Cross multiply
   59,544x = 124,020 × 124,020
4. Step 4: Simplify right side
   59,544x = 15,380,960,400
5. Step 5: Solve for x
   x = 15,380,960,400/59,544
6. Step 6: Final answer
   x = 258,312.52