Finding the Third Proportional to 120,859.50 and 265,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,859.50 : 265,849.50 = 265,849.50 : x
2. Step 2: Convert to fraction form
   120,859.50/265,849.50 = 265,849.50/x
3. Step 3: Cross multiply
   120,859.50x = 265,849.50 × 265,849.50
4. Step 4: Simplify right side
   120,859.50x = 70,675,956,650.25
5. Step 5: Solve for x
   x = 70,675,956,650.25/120,859.50
6. Step 6: Final answer
   x = 584,777.83