Finding the Third Proportional to 65,724 and 142,519

Step by Step Solution

1. Step 1: Write the proportion equation
   65,724 : 142,519 = 142,519 : x
2. Step 2: Convert to fraction form
   65,724/142,519 = 142,519/x
3. Step 3: Cross multiply
   65,724x = 142,519 × 142,519
4. Step 4: Simplify right side
   65,724x = 20,311,665,361
5. Step 5: Solve for x
   x = 20,311,665,361/65,724
6. Step 6: Final answer
   x = 309,044.87