Finding the Third Proportional to 65,770 and 142,049

Step by Step Solution

1. Step 1: Write the proportion equation
   65,770 : 142,049 = 142,049 : x
2. Step 2: Convert to fraction form
   65,770/142,049 = 142,049/x
3. Step 3: Cross multiply
   65,770x = 142,049 × 142,049
4. Step 4: Simplify right side
   65,770x = 20,177,918,401
5. Step 5: Solve for x
   x = 20,177,918,401/65,770
6. Step 6: Final answer
   x = 306,795.17