Finding the Third Proportional to 50,256 and 106,830

Step by Step Solution

1. Step 1: Write the proportion equation
   50,256 : 106,830 = 106,830 : x
2. Step 2: Convert to fraction form
   50,256/106,830 = 106,830/x
3. Step 3: Cross multiply
   50,256x = 106,830 × 106,830
4. Step 4: Simplify right side
   50,256x = 11,412,648,900
5. Step 5: Solve for x
   x = 11,412,648,900/50,256
6. Step 6: Final answer
   x = 227,090.28