Finding the Third Proportional to 218,618 and 471,676

Step by Step Solution

1. Step 1: Write the proportion equation
   218,618 : 471,676 = 471,676 : x
2. Step 2: Convert to fraction form
   218,618/471,676 = 471,676/x
3. Step 3: Cross multiply
   218,618x = 471,676 × 471,676
4. Step 4: Simplify right side
   218,618x = 222,478,248,976
5. Step 5: Solve for x
   x = 222,478,248,976/218,618
6. Step 6: Final answer
   x = 1,017,657.51