Finding the Third Proportional to 50,089 and 105,767

Step by Step Solution

1. Step 1: Write the proportion equation
   50,089 : 105,767 = 105,767 : x
2. Step 2: Convert to fraction form
   50,089/105,767 = 105,767/x
3. Step 3: Cross multiply
   50,089x = 105,767 × 105,767
4. Step 4: Simplify right side
   50,089x = 11,186,658,289
5. Step 5: Solve for x
   x = 11,186,658,289/50,089
6. Step 6: Final answer
   x = 223,335.63