Finding the Third Proportional to 111,908 and 241,689

Step by Step Solution

1. Step 1: Write the proportion equation
   111,908 : 241,689 = 241,689 : x
2. Step 2: Convert to fraction form
   111,908/241,689 = 241,689/x
3. Step 3: Cross multiply
   111,908x = 241,689 × 241,689
4. Step 4: Simplify right side
   111,908x = 58,413,572,721
5. Step 5: Solve for x
   x = 58,413,572,721/111,908
6. Step 6: Final answer
   x = 521,978.52