Finding the Third Proportional to 217,876 and 471,942

Step by Step Solution

1. Step 1: Write the proportion equation
   217,876 : 471,942 = 471,942 : x
2. Step 2: Convert to fraction form
   217,876/471,942 = 471,942/x
3. Step 3: Cross multiply
   217,876x = 471,942 × 471,942
4. Step 4: Simplify right side
   217,876x = 222,729,251,364
5. Step 5: Solve for x
   x = 222,729,251,364/217,876
6. Step 6: Final answer
   x = 1,022,275.29