Finding the Third Proportional to 361,204 and 558,978

Step by Step Solution

1. Step 1: Write the proportion equation
   361,204 : 558,978 = 558,978 : x
2. Step 2: Convert to fraction form
   361,204/558,978 = 558,978/x
3. Step 3: Cross multiply
   361,204x = 558,978 × 558,978
4. Step 4: Simplify right side
   361,204x = 312,456,404,484
5. Step 5: Solve for x
   x = 312,456,404,484/361,204
6. Step 6: Final answer
   x = 865,041.37