Finding the Third Proportional to 65,606 and 140,548

Step by Step Solution

1. Step 1: Write the proportion equation
   65,606 : 140,548 = 140,548 : x
2. Step 2: Convert to fraction form
   65,606/140,548 = 140,548/x
3. Step 3: Cross multiply
   65,606x = 140,548 × 140,548
4. Step 4: Simplify right side
   65,606x = 19,753,740,304
5. Step 5: Solve for x
   x = 19,753,740,304/65,606
6. Step 6: Final answer
   x = 301,096.55