Finding the Third Proportional to 102,143.53 and 142,846.03

Step by Step Solution

1. Step 1: Write the proportion equation
   102,143.53 : 142,846.03 = 142,846.03 : x
2. Step 2: Convert to fraction form
   102,143.53/142,846.03 = 142,846.03/x
3. Step 3: Cross multiply
   102,143.53x = 142,846.03 × 142,846.03
4. Step 4: Simplify right side
   102,143.53x = 20,404,988,643.88
5. Step 5: Solve for x
   x = 20,404,988,643.88/102,143.53
6. Step 6: Final answer
   x = 199,767.80