Finding the Third Proportional to 96,996 and 144,036

Step by Step Solution

1. Step 1: Write the proportion equation
   96,996 : 144,036 = 144,036 : x
2. Step 2: Convert to fraction form
   96,996/144,036 = 144,036/x
3. Step 3: Cross multiply
   96,996x = 144,036 × 144,036
4. Step 4: Simplify right side
   96,996x = 20,746,369,296
5. Step 5: Solve for x
   x = 20,746,369,296/96,996
6. Step 6: Final answer
   x = 213,888.92