Finding the Third Proportional to 205,618 and 475,978

Step by Step Solution

1. Step 1: Write the proportion equation
   205,618 : 475,978 = 475,978 : x
2. Step 2: Convert to fraction form
   205,618/475,978 = 475,978/x
3. Step 3: Cross multiply
   205,618x = 475,978 × 475,978
4. Step 4: Simplify right side
   205,618x = 226,555,056,484
5. Step 5: Solve for x
   x = 226,555,056,484/205,618
6. Step 6: Final answer
   x = 1,101,825.02