Finding the Third Proportional to 52,204 and 111,794

Step by Step Solution

1. Step 1: Write the proportion equation
   52,204 : 111,794 = 111,794 : x
2. Step 2: Convert to fraction form
   52,204/111,794 = 111,794/x
3. Step 3: Cross multiply
   52,204x = 111,794 × 111,794
4. Step 4: Simplify right side
   52,204x = 12,497,898,436
5. Step 5: Solve for x
   x = 12,497,898,436/52,204
6. Step 6: Final answer
   x = 239,405.00