Finding the Third Proportional to 66,042 and 142,612

Step by Step Solution

1. Step 1: Write the proportion equation
   66,042 : 142,612 = 142,612 : x
2. Step 2: Convert to fraction form
   66,042/142,612 = 142,612/x
3. Step 3: Cross multiply
   66,042x = 142,612 × 142,612
4. Step 4: Simplify right side
   66,042x = 20,338,182,544
5. Step 5: Solve for x
   x = 20,338,182,544/66,042
6. Step 6: Final answer
   x = 307,958.31