Finding the Third Proportional to 50,204 and 108,326

Step by Step Solution

1. Step 1: Write the proportion equation
   50,204 : 108,326 = 108,326 : x
2. Step 2: Convert to fraction form
   50,204/108,326 = 108,326/x
3. Step 3: Cross multiply
   50,204x = 108,326 × 108,326
4. Step 4: Simplify right side
   50,204x = 11,734,522,276
5. Step 5: Solve for x
   x = 11,734,522,276/50,204
6. Step 6: Final answer
   x = 233,736.80