Finding the Third Proportional to 120,540 and 262,221

Step by Step Solution

1. Step 1: Write the proportion equation
   120,540 : 262,221 = 262,221 : x
2. Step 2: Convert to fraction form
   120,540/262,221 = 262,221/x
3. Step 3: Cross multiply
   120,540x = 262,221 × 262,221
4. Step 4: Simplify right side
   120,540x = 68,759,852,841
5. Step 5: Solve for x
   x = 68,759,852,841/120,540
6. Step 6: Final answer
   x = 570,431.83