Finding the Third Proportional to 85,799 and 189,049

Step by Step Solution

1. Step 1: Write the proportion equation
   85,799 : 189,049 = 189,049 : x
2. Step 2: Convert to fraction form
   85,799/189,049 = 189,049/x
3. Step 3: Cross multiply
   85,799x = 189,049 × 189,049
4. Step 4: Simplify right side
   85,799x = 35,739,524,401
5. Step 5: Solve for x
   x = 35,739,524,401/85,799
6. Step 6: Final answer
   x = 416,549.43