Finding the Third Proportional to 65,577 and 140,707

Step by Step Solution

1. Step 1: Write the proportion equation
   65,577 : 140,707 = 140,707 : x
2. Step 2: Convert to fraction form
   65,577/140,707 = 140,707/x
3. Step 3: Cross multiply
   65,577x = 140,707 × 140,707
4. Step 4: Simplify right side
   65,577x = 19,798,459,849
5. Step 5: Solve for x
   x = 19,798,459,849/65,577
6. Step 6: Final answer
   x = 301,911.64