Finding the Third Proportional to 51,184 and 110,144

Step by Step Solution

1. Step 1: Write the proportion equation
   51,184 : 110,144 = 110,144 : x
2. Step 2: Convert to fraction form
   51,184/110,144 = 110,144/x
3. Step 3: Cross multiply
   51,184x = 110,144 × 110,144
4. Step 4: Simplify right side
   51,184x = 12,131,700,736
5. Step 5: Solve for x
   x = 12,131,700,736/51,184
6. Step 6: Final answer
   x = 237,021.35