Finding the Third Proportional to 50,658 and 110,856

Step by Step Solution

1. Step 1: Write the proportion equation
   50,658 : 110,856 = 110,856 : x
2. Step 2: Convert to fraction form
   50,658/110,856 = 110,856/x
3. Step 3: Cross multiply
   50,658x = 110,856 × 110,856
4. Step 4: Simplify right side
   50,658x = 12,289,052,736
5. Step 5: Solve for x
   x = 12,289,052,736/50,658
6. Step 6: Final answer
   x = 242,588.59