Finding the Third Proportional to 50,144 and 106,786

Step by Step Solution

1. Step 1: Write the proportion equation
   50,144 : 106,786 = 106,786 : x
2. Step 2: Convert to fraction form
   50,144/106,786 = 106,786/x
3. Step 3: Cross multiply
   50,144x = 106,786 × 106,786
4. Step 4: Simplify right side
   50,144x = 11,403,249,796
5. Step 5: Solve for x
   x = 11,403,249,796/50,144
6. Step 6: Final answer
   x = 227,410.05