Finding the Third Proportional to 54,240 and 112,578

Step by Step Solution

1. Step 1: Write the proportion equation
   54,240 : 112,578 = 112,578 : x
2. Step 2: Convert to fraction form
   54,240/112,578 = 112,578/x
3. Step 3: Cross multiply
   54,240x = 112,578 × 112,578
4. Step 4: Simplify right side
   54,240x = 12,673,806,084
5. Step 5: Solve for x
   x = 12,673,806,084/54,240
6. Step 6: Final answer
   x = 233,661.62