Finding the Third Proportional to 142,271 and 213,037

Step by Step Solution

1. Step 1: Write the proportion equation
   142,271 : 213,037 = 213,037 : x
2. Step 2: Convert to fraction form
   142,271/213,037 = 213,037/x
3. Step 3: Cross multiply
   142,271x = 213,037 × 213,037
4. Step 4: Simplify right side
   142,271x = 45,384,763,369
5. Step 5: Solve for x
   x = 45,384,763,369/142,271
6. Step 6: Final answer
   x = 319,002.21