Finding the Third Proportional to 67,824 and 143,424

Step by Step Solution

1. Step 1: Write the proportion equation
   67,824 : 143,424 = 143,424 : x
2. Step 2: Convert to fraction form
   67,824/143,424 = 143,424/x
3. Step 3: Cross multiply
   67,824x = 143,424 × 143,424
4. Step 4: Simplify right side
   67,824x = 20,570,443,776
5. Step 5: Solve for x
   x = 20,570,443,776/67,824
6. Step 6: Final answer
   x = 303,291.52