Finding the Third Proportional to 111,240 and 231,684

Step by Step Solution

1. Step 1: Write the proportion equation
   111,240 : 231,684 = 231,684 : x
2. Step 2: Convert to fraction form
   111,240/231,684 = 231,684/x
3. Step 3: Cross multiply
   111,240x = 231,684 × 231,684
4. Step 4: Simplify right side
   111,240x = 53,677,475,856
5. Step 5: Solve for x
   x = 53,677,475,856/111,240
6. Step 6: Final answer
   x = 482,537.54