Finding the Third Proportional to 142,954.50 and 200,823

Step by Step Solution

1. Step 1: Write the proportion equation
   142,954.50 : 200,823 = 200,823 : x
2. Step 2: Convert to fraction form
   142,954.50/200,823 = 200,823/x
3. Step 3: Cross multiply
   142,954.50x = 200,823 × 200,823
4. Step 4: Simplify right side
   142,954.50x = 40,329,877,329
5. Step 5: Solve for x
   x = 40,329,877,329/142,954.50
6. Step 6: Final answer
   x = 282,116.88