Finding the Third Proportional to 111,206 and 238,504

Step by Step Solution

1. Step 1: Write the proportion equation
   111,206 : 238,504 = 238,504 : x
2. Step 2: Convert to fraction form
   111,206/238,504 = 238,504/x
3. Step 3: Cross multiply
   111,206x = 238,504 × 238,504
4. Step 4: Simplify right side
   111,206x = 56,884,158,016
5. Step 5: Solve for x
   x = 56,884,158,016/111,206
6. Step 6: Final answer
   x = 511,520.58