Finding the Third Proportional to 120,109 and 261,360

Step by Step Solution

1. Step 1: Write the proportion equation
   120,109 : 261,360 = 261,360 : x
2. Step 2: Convert to fraction form
   120,109/261,360 = 261,360/x
3. Step 3: Cross multiply
   120,109x = 261,360 × 261,360
4. Step 4: Simplify right side
   120,109x = 68,309,049,600
5. Step 5: Solve for x
   x = 68,309,049,600/120,109
6. Step 6: Final answer
   x = 568,725.49