Finding the Third Proportional to 120,949 and 262,885

Step by Step Solution

1. Step 1: Write the proportion equation
   120,949 : 262,885 = 262,885 : x
2. Step 2: Convert to fraction form
   120,949/262,885 = 262,885/x
3. Step 3: Cross multiply
   120,949x = 262,885 × 262,885
4. Step 4: Simplify right side
   120,949x = 69,108,523,225
5. Step 5: Solve for x
   x = 69,108,523,225/120,949
6. Step 6: Final answer
   x = 571,385.65