Finding the Third Proportional to 57,996 and 111,384

Step by Step Solution

1. Step 1: Write the proportion equation
   57,996 : 111,384 = 111,384 : x
2. Step 2: Convert to fraction form
   57,996/111,384 = 111,384/x
3. Step 3: Cross multiply
   57,996x = 111,384 × 111,384
4. Step 4: Simplify right side
   57,996x = 12,406,395,456
5. Step 5: Solve for x
   x = 12,406,395,456/57,996
6. Step 6: Final answer
   x = 213,918.12