Finding the Third Proportional to 65,576 and 140,705

Step by Step Solution

1. Step 1: Write the proportion equation
   65,576 : 140,705 = 140,705 : x
2. Step 2: Convert to fraction form
   65,576/140,705 = 140,705/x
3. Step 3: Cross multiply
   65,576x = 140,705 × 140,705
4. Step 4: Simplify right side
   65,576x = 19,797,897,025
5. Step 5: Solve for x
   x = 19,797,897,025/65,576
6. Step 6: Final answer
   x = 301,907.66