Finding the Third Proportional to 50,203 and 103,686

Step by Step Solution

1. Step 1: Write the proportion equation
   50,203 : 103,686 = 103,686 : x
2. Step 2: Convert to fraction form
   50,203/103,686 = 103,686/x
3. Step 3: Cross multiply
   50,203x = 103,686 × 103,686
4. Step 4: Simplify right side
   50,203x = 10,750,786,596
5. Step 5: Solve for x
   x = 10,750,786,596/50,203
6. Step 6: Final answer
   x = 214,146.30