Finding the Third Proportional to 142,280 and 213,048

Step by Step Solution

1. Step 1: Write the proportion equation
   142,280 : 213,048 = 213,048 : x
2. Step 2: Convert to fraction form
   142,280/213,048 = 213,048/x
3. Step 3: Cross multiply
   142,280x = 213,048 × 213,048
4. Step 4: Simplify right side
   142,280x = 45,389,450,304
5. Step 5: Solve for x
   x = 45,389,450,304/142,280
6. Step 6: Final answer
   x = 319,014.97