Finding the Third Proportional to 54,636 and 111,276

Step by Step Solution

1. Step 1: Write the proportion equation
   54,636 : 111,276 = 111,276 : x
2. Step 2: Convert to fraction form
   54,636/111,276 = 111,276/x
3. Step 3: Cross multiply
   54,636x = 111,276 × 111,276
4. Step 4: Simplify right side
   54,636x = 12,382,348,176
5. Step 5: Solve for x
   x = 12,382,348,176/54,636
6. Step 6: Final answer
   x = 226,633.50