Finding the Third Proportional to 65,876 and 142,048

Step by Step Solution

1. Step 1: Write the proportion equation
   65,876 : 142,048 = 142,048 : x
2. Step 2: Convert to fraction form
   65,876/142,048 = 142,048/x
3. Step 3: Cross multiply
   65,876x = 142,048 × 142,048
4. Step 4: Simplify right side
   65,876x = 20,177,634,304
5. Step 5: Solve for x
   x = 20,177,634,304/65,876
6. Step 6: Final answer
   x = 306,297.20