Finding the Third Proportional to 110,800 and 237,144

Step by Step Solution

1. Step 1: Write the proportion equation
   110,800 : 237,144 = 237,144 : x
2. Step 2: Convert to fraction form
   110,800/237,144 = 237,144/x
3. Step 3: Cross multiply
   110,800x = 237,144 × 237,144
4. Step 4: Simplify right side
   110,800x = 56,237,276,736
5. Step 5: Solve for x
   x = 56,237,276,736/110,800
6. Step 6: Final answer
   x = 507,556.65