Finding the Third Proportional to 54,906 and 111,756

Step by Step Solution

1. Step 1: Write the proportion equation
   54,906 : 111,756 = 111,756 : x
2. Step 2: Convert to fraction form
   54,906/111,756 = 111,756/x
3. Step 3: Cross multiply
   54,906x = 111,756 × 111,756
4. Step 4: Simplify right side
   54,906x = 12,489,403,536
5. Step 5: Solve for x
   x = 12,489,403,536/54,906
6. Step 6: Final answer
   x = 227,468.83