Finding the Third Proportional to 102,215 and 143,234

Step by Step Solution

1. Step 1: Write the proportion equation
   102,215 : 143,234 = 143,234 : x
2. Step 2: Convert to fraction form
   102,215/143,234 = 143,234/x
3. Step 3: Cross multiply
   102,215x = 143,234 × 143,234
4. Step 4: Simplify right side
   102,215x = 20,515,978,756
5. Step 5: Solve for x
   x = 20,515,978,756/102,215
6. Step 6: Final answer
   x = 200,713.97