Finding the Third Proportional to 102,156 and 143,025

Step by Step Solution

1. Step 1: Write the proportion equation
   102,156 : 143,025 = 143,025 : x
2. Step 2: Convert to fraction form
   102,156/143,025 = 143,025/x
3. Step 3: Cross multiply
   102,156x = 143,025 × 143,025
4. Step 4: Simplify right side
   102,156x = 20,456,150,625
5. Step 5: Solve for x
   x = 20,456,150,625/102,156
6. Step 6: Final answer
   x = 200,244.24