Finding the Third Proportional to 65,408 and 142,624

Step by Step Solution

1. Step 1: Write the proportion equation
   65,408 : 142,624 = 142,624 : x
2. Step 2: Convert to fraction form
   65,408/142,624 = 142,624/x
3. Step 3: Cross multiply
   65,408x = 142,624 × 142,624
4. Step 4: Simplify right side
   65,408x = 20,341,605,376
5. Step 5: Solve for x
   x = 20,341,605,376/65,408
6. Step 6: Final answer
   x = 310,995.68