Finding the Third Proportional to 120,835.50 and 177,550.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,835.50 : 177,550.50 = 177,550.50 : x
2. Step 2: Convert to fraction form
   120,835.50/177,550.50 = 177,550.50/x
3. Step 3: Cross multiply
   120,835.50x = 177,550.50 × 177,550.50
4. Step 4: Simplify right side
   120,835.50x = 31,524,180,050.25
5. Step 5: Solve for x
   x = 31,524,180,050.25/120,835.50
6. Step 6: Final answer
   x = 260,885.09