Finding the Third Proportional to 65,678 and 142,364

Step by Step Solution

1. Step 1: Write the proportion equation
   65,678 : 142,364 = 142,364 : x
2. Step 2: Convert to fraction form
   65,678/142,364 = 142,364/x
3. Step 3: Cross multiply
   65,678x = 142,364 × 142,364
4. Step 4: Simplify right side
   65,678x = 20,267,508,496
5. Step 5: Solve for x
   x = 20,267,508,496/65,678
6. Step 6: Final answer
   x = 308,589.00