Finding the Third Proportional to 111,822.75 and 242,577

Step by Step Solution

1. Step 1: Write the proportion equation
   111,822.75 : 242,577 = 242,577 : x
2. Step 2: Convert to fraction form
   111,822.75/242,577 = 242,577/x
3. Step 3: Cross multiply
   111,822.75x = 242,577 × 242,577
4. Step 4: Simplify right side
   111,822.75x = 58,843,600,929
5. Step 5: Solve for x
   x = 58,843,600,929/111,822.75
6. Step 6: Final answer
   x = 526,222.09