Finding the Third Proportional to 54,896 and 111,736

Step by Step Solution

1. Step 1: Write the proportion equation
   54,896 : 111,736 = 111,736 : x
2. Step 2: Convert to fraction form
   54,896/111,736 = 111,736/x
3. Step 3: Cross multiply
   54,896x = 111,736 × 111,736
4. Step 4: Simplify right side
   54,896x = 12,484,933,696
5. Step 5: Solve for x
   x = 12,484,933,696/54,896
6. Step 6: Final answer
   x = 227,428.84