Finding the Third Proportional to 65,968 and 142,304

Step by Step Solution

1. Step 1: Write the proportion equation
   65,968 : 142,304 = 142,304 : x
2. Step 2: Convert to fraction form
   65,968/142,304 = 142,304/x
3. Step 3: Cross multiply
   65,968x = 142,304 × 142,304
4. Step 4: Simplify right side
   65,968x = 20,250,428,416
5. Step 5: Solve for x
   x = 20,250,428,416/65,968
6. Step 6: Final answer
   x = 306,973.51