Finding the Third Proportional to 145,433 and 213,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,433 : 213,361.50 = 213,361.50 : x
2. Step 2: Convert to fraction form
   145,433/213,361.50 = 213,361.50/x
3. Step 3: Cross multiply
   145,433x = 213,361.50 × 213,361.50
4. Step 4: Simplify right side
   145,433x = 45,523,129,682.25
5. Step 5: Solve for x
   x = 45,523,129,682.25/145,433
6. Step 6: Final answer
   x = 313,017.88