Finding the Third Proportional to 50,474 and 106,179.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,474 : 106,179.50 = 106,179.50 : x
2. Step 2: Convert to fraction form
   50,474/106,179.50 = 106,179.50/x
3. Step 3: Cross multiply
   50,474x = 106,179.50 × 106,179.50
4. Step 4: Simplify right side
   50,474x = 11,274,086,220.25
5. Step 5: Solve for x
   x = 11,274,086,220.25/50,474
6. Step 6: Final answer
   x = 223,364.23