Finding the Third Proportional to 145,434 and 213,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,434 : 213,362.50 = 213,362.50 : x
2. Step 2: Convert to fraction form
   145,434/213,362.50 = 213,362.50/x
3. Step 3: Cross multiply
   145,434x = 213,362.50 × 213,362.50
4. Step 4: Simplify right side
   145,434x = 45,523,556,406.25
5. Step 5: Solve for x
   x = 45,523,556,406.25/145,434
6. Step 6: Final answer
   x = 313,018.66