Finding the Third Proportional to 67,136 and 142,768

Step by Step Solution

1. Step 1: Write the proportion equation
   67,136 : 142,768 = 142,768 : x
2. Step 2: Convert to fraction form
   67,136/142,768 = 142,768/x
3. Step 3: Cross multiply
   67,136x = 142,768 × 142,768
4. Step 4: Simplify right side
   67,136x = 20,382,701,824
5. Step 5: Solve for x
   x = 20,382,701,824/67,136
6. Step 6: Final answer
   x = 303,603.16