Finding the Third Proportional to 50,204 and 109,156

Step by Step Solution

1. Step 1: Write the proportion equation
   50,204 : 109,156 = 109,156 : x
2. Step 2: Convert to fraction form
   50,204/109,156 = 109,156/x
3. Step 3: Cross multiply
   50,204x = 109,156 × 109,156
4. Step 4: Simplify right side
   50,204x = 11,915,032,336
5. Step 5: Solve for x
   x = 11,915,032,336/50,204
6. Step 6: Final answer
   x = 237,332.33