Finding the Third Proportional to 142,298 and 213,825

Step by Step Solution

1. Step 1: Write the proportion equation
   142,298 : 213,825 = 213,825 : x
2. Step 2: Convert to fraction form
   142,298/213,825 = 213,825/x
3. Step 3: Cross multiply
   142,298x = 213,825 × 213,825
4. Step 4: Simplify right side
   142,298x = 45,721,130,625
5. Step 5: Solve for x
   x = 45,721,130,625/142,298
6. Step 6: Final answer
   x = 321,305.50