Finding the Third Proportional to 65,822 and 142,582

Step by Step Solution

1. Step 1: Write the proportion equation
   65,822 : 142,582 = 142,582 : x
2. Step 2: Convert to fraction form
   65,822/142,582 = 142,582/x
3. Step 3: Cross multiply
   65,822x = 142,582 × 142,582
4. Step 4: Simplify right side
   65,822x = 20,329,626,724
5. Step 5: Solve for x
   x = 20,329,626,724/65,822
6. Step 6: Final answer
   x = 308,857.63