Finding the Third Proportional to 120,856 and 261,152

Step by Step Solution

1. Step 1: Write the proportion equation
   120,856 : 261,152 = 261,152 : x
2. Step 2: Convert to fraction form
   120,856/261,152 = 261,152/x
3. Step 3: Cross multiply
   120,856x = 261,152 × 261,152
4. Step 4: Simplify right side
   120,856x = 68,200,367,104
5. Step 5: Solve for x
   x = 68,200,367,104/120,856
6. Step 6: Final answer
   x = 564,310.97