Finding the Third Proportional to 67,664 and 142,624

Step by Step Solution

1. Step 1: Write the proportion equation
   67,664 : 142,624 = 142,624 : x
2. Step 2: Convert to fraction form
   67,664/142,624 = 142,624/x
3. Step 3: Cross multiply
   67,664x = 142,624 × 142,624
4. Step 4: Simplify right side
   67,664x = 20,341,605,376
5. Step 5: Solve for x
   x = 20,341,605,376/67,664
6. Step 6: Final answer
   x = 300,626.71