Finding the Third Proportional to 54,909 and 111,815

Step by Step Solution

1. Step 1: Write the proportion equation
   54,909 : 111,815 = 111,815 : x
2. Step 2: Convert to fraction form
   54,909/111,815 = 111,815/x
3. Step 3: Cross multiply
   54,909x = 111,815 × 111,815
4. Step 4: Simplify right side
   54,909x = 12,502,594,225
5. Step 5: Solve for x
   x = 12,502,594,225/54,909
6. Step 6: Final answer
   x = 227,696.63