Finding the Third Proportional to 140,996 and 309,901

Step by Step Solution

1. Step 1: Write the proportion equation
   140,996 : 309,901 = 309,901 : x
2. Step 2: Convert to fraction form
   140,996/309,901 = 309,901/x
3. Step 3: Cross multiply
   140,996x = 309,901 × 309,901
4. Step 4: Simplify right side
   140,996x = 96,038,629,801
5. Step 5: Solve for x
   x = 96,038,629,801/140,996
6. Step 6: Final answer
   x = 681,144.36