Finding the Third Proportional to 119,149.50 and 175,951.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,149.50 : 175,951.50 = 175,951.50 : x
2. Step 2: Convert to fraction form
   119,149.50/175,951.50 = 175,951.50/x
3. Step 3: Cross multiply
   119,149.50x = 175,951.50 × 175,951.50
4. Step 4: Simplify right side
   119,149.50x = 30,958,930,352.25
5. Step 5: Solve for x
   x = 30,958,930,352.25/119,149.50
6. Step 6: Final answer
   x = 259,832.65