Finding the Third Proportional to 142,245 and 213,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,245 : 213,745.50 = 213,745.50 : x
2. Step 2: Convert to fraction form
   142,245/213,745.50 = 213,745.50/x
3. Step 3: Cross multiply
   142,245x = 213,745.50 × 213,745.50
4. Step 4: Simplify right side
   142,245x = 45,687,138,770.25
5. Step 5: Solve for x
   x = 45,687,138,770.25/142,245
6. Step 6: Final answer
   x = 321,186.25