Finding the Third Proportional to 50,510 and 106,345

Step by Step Solution

1. Step 1: Write the proportion equation
   50,510 : 106,345 = 106,345 : x
2. Step 2: Convert to fraction form
   50,510/106,345 = 106,345/x
3. Step 3: Cross multiply
   50,510x = 106,345 × 106,345
4. Step 4: Simplify right side
   50,510x = 11,309,259,025
5. Step 5: Solve for x
   x = 11,309,259,025/50,510
6. Step 6: Final answer
   x = 223,901.39