Finding the Third Proportional to 65,909 and 142,186

Step by Step Solution

1. Step 1: Write the proportion equation
   65,909 : 142,186 = 142,186 : x
2. Step 2: Convert to fraction form
   65,909/142,186 = 142,186/x
3. Step 3: Cross multiply
   65,909x = 142,186 × 142,186
4. Step 4: Simplify right side
   65,909x = 20,216,858,596
5. Step 5: Solve for x
   x = 20,216,858,596/65,909
6. Step 6: Final answer
   x = 306,738.97