Finding the Third Proportional to 111,584 and 240,688

Step by Step Solution

1. Step 1: Write the proportion equation
   111,584 : 240,688 = 240,688 : x
2. Step 2: Convert to fraction form
   111,584/240,688 = 240,688/x
3. Step 3: Cross multiply
   111,584x = 240,688 × 240,688
4. Step 4: Simplify right side
   111,584x = 57,930,713,344
5. Step 5: Solve for x
   x = 57,930,713,344/111,584
6. Step 6: Final answer
   x = 519,166.85