Finding the Third Proportional to 50,206 and 104,570

Step by Step Solution

1. Step 1: Write the proportion equation
   50,206 : 104,570 = 104,570 : x
2. Step 2: Convert to fraction form
   50,206/104,570 = 104,570/x
3. Step 3: Cross multiply
   50,206x = 104,570 × 104,570
4. Step 4: Simplify right side
   50,206x = 10,934,884,900
5. Step 5: Solve for x
   x = 10,934,884,900/50,206
6. Step 6: Final answer
   x = 217,800.36