Finding the Third Proportional to 65,678 and 142,372

Step by Step Solution

1. Step 1: Write the proportion equation
   65,678 : 142,372 = 142,372 : x
2. Step 2: Convert to fraction form
   65,678/142,372 = 142,372/x
3. Step 3: Cross multiply
   65,678x = 142,372 × 142,372
4. Step 4: Simplify right side
   65,678x = 20,269,786,384
5. Step 5: Solve for x
   x = 20,269,786,384/65,678
6. Step 6: Final answer
   x = 308,623.69