Finding the Third Proportional to 111,768 and 242,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,768 : 242,584.50 = 242,584.50 : x
2. Step 2: Convert to fraction form
   111,768/242,584.50 = 242,584.50/x
3. Step 3: Cross multiply
   111,768x = 242,584.50 × 242,584.50
4. Step 4: Simplify right side
   111,768x = 58,847,239,640.25
5. Step 5: Solve for x
   x = 58,847,239,640.25/111,768
6. Step 6: Final answer
   x = 526,512.42