Finding the Third Proportional to 111,916 and 240,397

Step by Step Solution

1. Step 1: Write the proportion equation
   111,916 : 240,397 = 240,397 : x
2. Step 2: Convert to fraction form
   111,916/240,397 = 240,397/x
3. Step 3: Cross multiply
   111,916x = 240,397 × 240,397
4. Step 4: Simplify right side
   111,916x = 57,790,717,609
5. Step 5: Solve for x
   x = 57,790,717,609/111,916
6. Step 6: Final answer
   x = 516,375.83