Finding the Third Proportional to 106,002 and 143,451

Step by Step Solution

1. Step 1: Write the proportion equation
   106,002 : 143,451 = 143,451 : x
2. Step 2: Convert to fraction form
   106,002/143,451 = 143,451/x
3. Step 3: Cross multiply
   106,002x = 143,451 × 143,451
4. Step 4: Simplify right side
   106,002x = 20,578,189,401
5. Step 5: Solve for x
   x = 20,578,189,401/106,002
6. Step 6: Final answer
   x = 194,130.20