Finding the Third Proportional to 65,642 and 140,620

Step by Step Solution

1. Step 1: Write the proportion equation
   65,642 : 140,620 = 140,620 : x
2. Step 2: Convert to fraction form
   65,642/140,620 = 140,620/x
3. Step 3: Cross multiply
   65,642x = 140,620 × 140,620
4. Step 4: Simplify right side
   65,642x = 19,773,984,400
5. Step 5: Solve for x
   x = 19,773,984,400/65,642
6. Step 6: Final answer
   x = 301,239.82