Finding the Third Proportional to 120,255.50 and 259,769

Step by Step Solution

1. Step 1: Write the proportion equation
   120,255.50 : 259,769 = 259,769 : x
2. Step 2: Convert to fraction form
   120,255.50/259,769 = 259,769/x
3. Step 3: Cross multiply
   120,255.50x = 259,769 × 259,769
4. Step 4: Simplify right side
   120,255.50x = 67,479,933,361
5. Step 5: Solve for x
   x = 67,479,933,361/120,255.50
6. Step 6: Final answer
   x = 561,138.02