Finding the Third Proportional to 140,327 and 213,993

Step by Step Solution

1. Step 1: Write the proportion equation
   140,327 : 213,993 = 213,993 : x
2. Step 2: Convert to fraction form
   140,327/213,993 = 213,993/x
3. Step 3: Cross multiply
   140,327x = 213,993 × 213,993
4. Step 4: Simplify right side
   140,327x = 45,793,004,049
5. Step 5: Solve for x
   x = 45,793,004,049/140,327
6. Step 6: Final answer
   x = 326,330.67