Finding the Third Proportional to 142,282 and 213,050

Step by Step Solution

1. Step 1: Write the proportion equation
   142,282 : 213,050 = 213,050 : x
2. Step 2: Convert to fraction form
   142,282/213,050 = 213,050/x
3. Step 3: Cross multiply
   142,282x = 213,050 × 213,050
4. Step 4: Simplify right side
   142,282x = 45,390,302,500
5. Step 5: Solve for x
   x = 45,390,302,500/142,282
6. Step 6: Final answer
   x = 319,016.48