Finding the Third Proportional to 120,500 and 262,435

Step by Step Solution

1. Step 1: Write the proportion equation
   120,500 : 262,435 = 262,435 : x
2. Step 2: Convert to fraction form
   120,500/262,435 = 262,435/x
3. Step 3: Cross multiply
   120,500x = 262,435 × 262,435
4. Step 4: Simplify right side
   120,500x = 68,872,129,225
5. Step 5: Solve for x
   x = 68,872,129,225/120,500
6. Step 6: Final answer
   x = 571,552.94