Finding the Third Proportional to 50,204 and 104,566

Step by Step Solution

1. Step 1: Write the proportion equation
   50,204 : 104,566 = 104,566 : x
2. Step 2: Convert to fraction form
   50,204/104,566 = 104,566/x
3. Step 3: Cross multiply
   50,204x = 104,566 × 104,566
4. Step 4: Simplify right side
   50,204x = 10,934,048,356
5. Step 5: Solve for x
   x = 10,934,048,356/50,204
6. Step 6: Final answer
   x = 217,792.37