Finding the Third Proportional to 120,952 and 263,404

Step by Step Solution

1. Step 1: Write the proportion equation
   120,952 : 263,404 = 263,404 : x
2. Step 2: Convert to fraction form
   120,952/263,404 = 263,404/x
3. Step 3: Cross multiply
   120,952x = 263,404 × 263,404
4. Step 4: Simplify right side
   120,952x = 69,381,667,216
5. Step 5: Solve for x
   x = 69,381,667,216/120,952
6. Step 6: Final answer
   x = 573,629.76