Finding the Third Proportional to 241,901 and 381,404

Step by Step Solution

1. Step 1: Write the proportion equation
   241,901 : 381,404 = 381,404 : x
2. Step 2: Convert to fraction form
   241,901/381,404 = 381,404/x
3. Step 3: Cross multiply
   241,901x = 381,404 × 381,404
4. Step 4: Simplify right side
   241,901x = 145,469,011,216
5. Step 5: Solve for x
   x = 145,469,011,216/241,901
6. Step 6: Final answer
   x = 601,357.63