Finding the Third Proportional to 120,433.50 and 262,323.56

Step by Step Solution

1. Step 1: Write the proportion equation
   120,433.50 : 262,323.56 = 262,323.56 : x
2. Step 2: Convert to fraction form
   120,433.50/262,323.56 = 262,323.56/x
3. Step 3: Cross multiply
   120,433.50x = 262,323.56 × 262,323.56
4. Step 4: Simplify right side
   120,433.50x = 68,813,651,442.69
5. Step 5: Solve for x
   x = 68,813,651,442.69/120,433.50
6. Step 6: Final answer
   x = 571,382.97