Finding the Third Proportional to 102,012 and 143,401

Step by Step Solution

1. Step 1: Write the proportion equation
   102,012 : 143,401 = 143,401 : x
2. Step 2: Convert to fraction form
   102,012/143,401 = 143,401/x
3. Step 3: Cross multiply
   102,012x = 143,401 × 143,401
4. Step 4: Simplify right side
   102,012x = 20,563,846,801
5. Step 5: Solve for x
   x = 20,563,846,801/102,012
6. Step 6: Final answer
   x = 201,582.63