Finding the Third Proportional to 65,771 and 142,051

Step by Step Solution

1. Step 1: Write the proportion equation
   65,771 : 142,051 = 142,051 : x
2. Step 2: Convert to fraction form
   65,771/142,051 = 142,051/x
3. Step 3: Cross multiply
   65,771x = 142,051 × 142,051
4. Step 4: Simplify right side
   65,771x = 20,178,486,601
5. Step 5: Solve for x
   x = 20,178,486,601/65,771
6. Step 6: Final answer
   x = 306,799.15