Finding the Third Proportional to 50,499 and 106,221

Step by Step Solution

1. Step 1: Write the proportion equation
   50,499 : 106,221 = 106,221 : x
2. Step 2: Convert to fraction form
   50,499/106,221 = 106,221/x
3. Step 3: Cross multiply
   50,499x = 106,221 × 106,221
4. Step 4: Simplify right side
   50,499x = 11,282,900,841
5. Step 5: Solve for x
   x = 11,282,900,841/50,499
6. Step 6: Final answer
   x = 223,428.20