Finding the Third Proportional to 66,612 and 142,698

Step by Step Solution

1. Step 1: Write the proportion equation
   66,612 : 142,698 = 142,698 : x
2. Step 2: Convert to fraction form
   66,612/142,698 = 142,698/x
3. Step 3: Cross multiply
   66,612x = 142,698 × 142,698
4. Step 4: Simplify right side
   66,612x = 20,362,719,204
5. Step 5: Solve for x
   x = 20,362,719,204/66,612
6. Step 6: Final answer
   x = 305,691.46