Finding the Third Proportional to 142,980 and 282,372.38

Step by Step Solution

1. Step 1: Write the proportion equation
   142,980 : 282,372.38 = 282,372.38 : x
2. Step 2: Convert to fraction form
   142,980/282,372.38 = 282,372.38/x
3. Step 3: Cross multiply
   142,980x = 282,372.38 × 282,372.38
4. Step 4: Simplify right side
   142,980x = 79,734,158,163.14
5. Step 5: Solve for x
   x = 79,734,158,163.14/142,980
6. Step 6: Final answer
   x = 557,659.52