Finding the Third Proportional to 111,771 and 238,306

Step by Step Solution

1. Step 1: Write the proportion equation
   111,771 : 238,306 = 238,306 : x
2. Step 2: Convert to fraction form
   111,771/238,306 = 238,306/x
3. Step 3: Cross multiply
   111,771x = 238,306 × 238,306
4. Step 4: Simplify right side
   111,771x = 56,789,749,636
5. Step 5: Solve for x
   x = 56,789,749,636/111,771
6. Step 6: Final answer
   x = 508,090.20