Finding the Third Proportional to 120,289 and 261,066

Step by Step Solution

1. Step 1: Write the proportion equation
   120,289 : 261,066 = 261,066 : x
2. Step 2: Convert to fraction form
   120,289/261,066 = 261,066/x
3. Step 3: Cross multiply
   120,289x = 261,066 × 261,066
4. Step 4: Simplify right side
   120,289x = 68,155,456,356
5. Step 5: Solve for x
   x = 68,155,456,356/120,289
6. Step 6: Final answer
   x = 566,597.58