Finding the Third Proportional to 142,393.50 and 200,266.88

Step by Step Solution

1. Step 1: Write the proportion equation
   142,393.50 : 200,266.88 = 200,266.88 : x
2. Step 2: Convert to fraction form
   142,393.50/200,266.88 = 200,266.88/x
3. Step 3: Cross multiply
   142,393.50x = 200,266.88 × 200,266.88
4. Step 4: Simplify right side
   142,393.50x = 40,106,821,222.27
5. Step 5: Solve for x
   x = 40,106,821,222.27/142,393.50
6. Step 6: Final answer
   x = 281,661.88