Finding the Third Proportional to 67,968 and 142,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,968 : 142,132.50 = 142,132.50 : x
2. Step 2: Convert to fraction form
   67,968/142,132.50 = 142,132.50/x
3. Step 3: Cross multiply
   67,968x = 142,132.50 × 142,132.50
4. Step 4: Simplify right side
   67,968x = 20,201,647,556.25
5. Step 5: Solve for x
   x = 20,201,647,556.25/67,968
6. Step 6: Final answer
   x = 297,222.92