Finding the Third Proportional to 120,279 and 261,060

Step by Step Solution

1. Step 1: Write the proportion equation
   120,279 : 261,060 = 261,060 : x
2. Step 2: Convert to fraction form
   120,279/261,060 = 261,060/x
3. Step 3: Cross multiply
   120,279x = 261,060 × 261,060
4. Step 4: Simplify right side
   120,279x = 68,152,323,600
5. Step 5: Solve for x
   x = 68,152,323,600/120,279
6. Step 6: Final answer
   x = 566,618.64