Finding the Third Proportional to 111,584 and 242,856

Step by Step Solution

1. Step 1: Write the proportion equation
   111,584 : 242,856 = 242,856 : x
2. Step 2: Convert to fraction form
   111,584/242,856 = 242,856/x
3. Step 3: Cross multiply
   111,584x = 242,856 × 242,856
4. Step 4: Simplify right side
   111,584x = 58,979,036,736
5. Step 5: Solve for x
   x = 58,979,036,736/111,584
6. Step 6: Final answer
   x = 528,561.77