Finding the Third Proportional to 50,856 and 110,184

Step by Step Solution

1. Step 1: Write the proportion equation
   50,856 : 110,184 = 110,184 : x
2. Step 2: Convert to fraction form
   50,856/110,184 = 110,184/x
3. Step 3: Cross multiply
   50,856x = 110,184 × 110,184
4. Step 4: Simplify right side
   50,856x = 12,140,513,856
5. Step 5: Solve for x
   x = 12,140,513,856/50,856
6. Step 6: Final answer
   x = 238,723.33