Finding the Third Proportional to 217,836 and 471,864

Step by Step Solution

1. Step 1: Write the proportion equation
   217,836 : 471,864 = 471,864 : x
2. Step 2: Convert to fraction form
   217,836/471,864 = 471,864/x
3. Step 3: Cross multiply
   217,836x = 471,864 × 471,864
4. Step 4: Simplify right side
   217,836x = 222,655,634,496
5. Step 5: Solve for x
   x = 222,655,634,496/217,836
6. Step 6: Final answer
   x = 1,022,125.06