Finding the Third Proportional to 150,474 and 199,750.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,474 : 199,750.50 = 199,750.50 : x
2. Step 2: Convert to fraction form
   150,474/199,750.50 = 199,750.50/x
3. Step 3: Cross multiply
   150,474x = 199,750.50 × 199,750.50
4. Step 4: Simplify right side
   150,474x = 39,900,262,250.25
5. Step 5: Solve for x
   x = 39,900,262,250.25/150,474
6. Step 6: Final answer
   x = 265,163.83