Finding the Third Proportional to 65,469 and 142,605

Step by Step Solution

1. Step 1: Write the proportion equation
   65,469 : 142,605 = 142,605 : x
2. Step 2: Convert to fraction form
   65,469/142,605 = 142,605/x
3. Step 3: Cross multiply
   65,469x = 142,605 × 142,605
4. Step 4: Simplify right side
   65,469x = 20,336,186,025
5. Step 5: Solve for x
   x = 20,336,186,025/65,469
6. Step 6: Final answer
   x = 310,623.13