Finding the Third Proportional to 123,646 and 186,049

Step by Step Solution

1. Step 1: Write the proportion equation
   123,646 : 186,049 = 186,049 : x
2. Step 2: Convert to fraction form
   123,646/186,049 = 186,049/x
3. Step 3: Cross multiply
   123,646x = 186,049 × 186,049
4. Step 4: Simplify right side
   123,646x = 34,614,230,401
5. Step 5: Solve for x
   x = 34,614,230,401/123,646
6. Step 6: Final answer
   x = 279,946.22