Finding the Third Proportional to 110,180 and 238,678

Step by Step Solution

1. Step 1: Write the proportion equation
   110,180 : 238,678 = 238,678 : x
2. Step 2: Convert to fraction form
   110,180/238,678 = 238,678/x
3. Step 3: Cross multiply
   110,180x = 238,678 × 238,678
4. Step 4: Simplify right side
   110,180x = 56,967,187,684
5. Step 5: Solve for x
   x = 56,967,187,684/110,180
6. Step 6: Final answer
   x = 517,037.46