Finding the Third Proportional to 82,996 and 179,968

Step by Step Solution

1. Step 1: Write the proportion equation
   82,996 : 179,968 = 179,968 : x
2. Step 2: Convert to fraction form
   82,996/179,968 = 179,968/x
3. Step 3: Cross multiply
   82,996x = 179,968 × 179,968
4. Step 4: Simplify right side
   82,996x = 32,388,481,024
5. Step 5: Solve for x
   x = 32,388,481,024/82,996
6. Step 6: Final answer
   x = 390,241.47