Finding the Third Proportional to 66,842 and 142,706

Step by Step Solution

1. Step 1: Write the proportion equation
   66,842 : 142,706 = 142,706 : x
2. Step 2: Convert to fraction form
   66,842/142,706 = 142,706/x
3. Step 3: Cross multiply
   66,842x = 142,706 × 142,706
4. Step 4: Simplify right side
   66,842x = 20,365,002,436
5. Step 5: Solve for x
   x = 20,365,002,436/66,842
6. Step 6: Final answer
   x = 304,673.74