Finding the Third Proportional to 50,212 and 108,206

Step by Step Solution

1. Step 1: Write the proportion equation
   50,212 : 108,206 = 108,206 : x
2. Step 2: Convert to fraction form
   50,212/108,206 = 108,206/x
3. Step 3: Cross multiply
   50,212x = 108,206 × 108,206
4. Step 4: Simplify right side
   50,212x = 11,708,538,436
5. Step 5: Solve for x
   x = 11,708,538,436/50,212
6. Step 6: Final answer
   x = 233,182.08