Finding the Third Proportional to 67,142 and 146,270

Step by Step Solution

1. Step 1: Write the proportion equation
   67,142 : 146,270 = 146,270 : x
2. Step 2: Convert to fraction form
   67,142/146,270 = 146,270/x
3. Step 3: Cross multiply
   67,142x = 146,270 × 146,270
4. Step 4: Simplify right side
   67,142x = 21,394,912,900
5. Step 5: Solve for x
   x = 21,394,912,900/67,142
6. Step 6: Final answer
   x = 318,651.71