Finding the Third Proportional to 54,636 and 111,277

Step by Step Solution

1. Step 1: Write the proportion equation
   54,636 : 111,277 = 111,277 : x
2. Step 2: Convert to fraction form
   54,636/111,277 = 111,277/x
3. Step 3: Cross multiply
   54,636x = 111,277 × 111,277
4. Step 4: Simplify right side
   54,636x = 12,382,570,729
5. Step 5: Solve for x
   x = 12,382,570,729/54,636
6. Step 6: Final answer
   x = 226,637.58