Finding the Third Proportional to 367,049 and 561,546

Step by Step Solution

1. Step 1: Write the proportion equation
   367,049 : 561,546 = 561,546 : x
2. Step 2: Convert to fraction form
   367,049/561,546 = 561,546/x
3. Step 3: Cross multiply
   367,049x = 561,546 × 561,546
4. Step 4: Simplify right side
   367,049x = 315,333,910,116
5. Step 5: Solve for x
   x = 315,333,910,116/367,049
6. Step 6: Final answer
   x = 859,105.76