Finding the Third Proportional to 145,145 and 213,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,145 : 213,447.50 = 213,447.50 : x
2. Step 2: Convert to fraction form
   145,145/213,447.50 = 213,447.50/x
3. Step 3: Cross multiply
   145,145x = 213,447.50 × 213,447.50
4. Step 4: Simplify right side
   145,145x = 45,559,835,256.25
5. Step 5: Solve for x
   x = 45,559,835,256.25/145,145
6. Step 6: Final answer
   x = 313,891.87