Finding the Third Proportional to 50,204 and 108,184

Step by Step Solution

1. Step 1: Write the proportion equation
   50,204 : 108,184 = 108,184 : x
2. Step 2: Convert to fraction form
   50,204/108,184 = 108,184/x
3. Step 3: Cross multiply
   50,204x = 108,184 × 108,184
4. Step 4: Simplify right side
   50,204x = 11,703,777,856
5. Step 5: Solve for x
   x = 11,703,777,856/50,204
6. Step 6: Final answer
   x = 233,124.41