Finding the Third Proportional to 145,435.50 and 213,365.25

Step by Step Solution

1. Step 1: Write the proportion equation
   145,435.50 : 213,365.25 = 213,365.25 : x
2. Step 2: Convert to fraction form
   145,435.50/213,365.25 = 213,365.25/x
3. Step 3: Cross multiply
   145,435.50x = 213,365.25 × 213,365.25
4. Step 4: Simplify right side
   145,435.50x = 45,524,729,907.56
5. Step 5: Solve for x
   x = 45,524,729,907.56/145,435.50
6. Step 6: Final answer
   x = 313,023.50