Finding the Third Proportional to 114,240 and 238,824

Step by Step Solution

1. Step 1: Write the proportion equation
   114,240 : 238,824 = 238,824 : x
2. Step 2: Convert to fraction form
   114,240/238,824 = 238,824/x
3. Step 3: Cross multiply
   114,240x = 238,824 × 238,824
4. Step 4: Simplify right side
   114,240x = 57,036,902,976
5. Step 5: Solve for x
   x = 57,036,902,976/114,240
6. Step 6: Final answer
   x = 499,272.61