Finding the Third Proportional to 65,874 and 142,116

Step by Step Solution

1. Step 1: Write the proportion equation
   65,874 : 142,116 = 142,116 : x
2. Step 2: Convert to fraction form
   65,874/142,116 = 142,116/x
3. Step 3: Cross multiply
   65,874x = 142,116 × 142,116
4. Step 4: Simplify right side
   65,874x = 20,196,957,456
5. Step 5: Solve for x
   x = 20,196,957,456/65,874
6. Step 6: Final answer
   x = 306,599.83