Finding the Third Proportional to 120,546 and 262,233

Step by Step Solution

1. Step 1: Write the proportion equation
   120,546 : 262,233 = 262,233 : x
2. Step 2: Convert to fraction form
   120,546/262,233 = 262,233/x
3. Step 3: Cross multiply
   120,546x = 262,233 × 262,233
4. Step 4: Simplify right side
   120,546x = 68,766,146,289
5. Step 5: Solve for x
   x = 68,766,146,289/120,546
6. Step 6: Final answer
   x = 570,455.65