Finding the Third Proportional to 50,500 and 106,222

Step by Step Solution

1. Step 1: Write the proportion equation
   50,500 : 106,222 = 106,222 : x
2. Step 2: Convert to fraction form
   50,500/106,222 = 106,222/x
3. Step 3: Cross multiply
   50,500x = 106,222 × 106,222
4. Step 4: Simplify right side
   50,500x = 11,283,113,284
5. Step 5: Solve for x
   x = 11,283,113,284/50,500
6. Step 6: Final answer
   x = 223,427.99