Finding the Third Proportional to 65,408 and 142,704

Step by Step Solution

1. Step 1: Write the proportion equation
   65,408 : 142,704 = 142,704 : x
2. Step 2: Convert to fraction form
   65,408/142,704 = 142,704/x
3. Step 3: Cross multiply
   65,408x = 142,704 × 142,704
4. Step 4: Simplify right side
   65,408x = 20,364,431,616
5. Step 5: Solve for x
   x = 20,364,431,616/65,408
6. Step 6: Final answer
   x = 311,344.66