Finding the Third Proportional to 50,494 and 106,314

Step by Step Solution

1. Step 1: Write the proportion equation
   50,494 : 106,314 = 106,314 : x
2. Step 2: Convert to fraction form
   50,494/106,314 = 106,314/x
3. Step 3: Cross multiply
   50,494x = 106,314 × 106,314
4. Step 4: Simplify right side
   50,494x = 11,302,666,596
5. Step 5: Solve for x
   x = 11,302,666,596/50,494
6. Step 6: Final answer
   x = 223,841.78