Finding the Third Proportional to 142,980 and 282,371

Step by Step Solution

1. Step 1: Write the proportion equation
   142,980 : 282,371 = 282,371 : x
2. Step 2: Convert to fraction form
   142,980/282,371 = 282,371/x
3. Step 3: Cross multiply
   142,980x = 282,371 × 282,371
4. Step 4: Simplify right side
   142,980x = 79,733,381,641
5. Step 5: Solve for x
   x = 79,733,381,641/142,980
6. Step 6: Final answer
   x = 557,654.09