Finding the Third Proportional to 65,857 and 141,718

Step by Step Solution

1. Step 1: Write the proportion equation
   65,857 : 141,718 = 141,718 : x
2. Step 2: Convert to fraction form
   65,857/141,718 = 141,718/x
3. Step 3: Cross multiply
   65,857x = 141,718 × 141,718
4. Step 4: Simplify right side
   65,857x = 20,083,991,524
5. Step 5: Solve for x
   x = 20,083,991,524/65,857
6. Step 6: Final answer
   x = 304,963.66