Finding the Third Proportional to 120,944 and 262,600

Step by Step Solution

1. Step 1: Write the proportion equation
   120,944 : 262,600 = 262,600 : x
2. Step 2: Convert to fraction form
   120,944/262,600 = 262,600/x
3. Step 3: Cross multiply
   120,944x = 262,600 × 262,600
4. Step 4: Simplify right side
   120,944x = 68,958,760,000
5. Step 5: Solve for x
   x = 68,958,760,000/120,944
6. Step 6: Final answer
   x = 570,170.99