Finding the Third Proportional to 142,992 and 282,390

Step by Step Solution

1. Step 1: Write the proportion equation
   142,992 : 282,390 = 282,390 : x
2. Step 2: Convert to fraction form
   142,992/282,390 = 282,390/x
3. Step 3: Cross multiply
   142,992x = 282,390 × 282,390
4. Step 4: Simplify right side
   142,992x = 79,744,112,100
5. Step 5: Solve for x
   x = 79,744,112,100/142,992
6. Step 6: Final answer
   x = 557,682.33