Finding the Third Proportional to 217,816 and 471,832

Step by Step Solution

1. Step 1: Write the proportion equation
   217,816 : 471,832 = 471,832 : x
2. Step 2: Convert to fraction form
   217,816/471,832 = 471,832/x
3. Step 3: Cross multiply
   217,816x = 471,832 × 471,832
4. Step 4: Simplify right side
   217,816x = 222,625,436,224
5. Step 5: Solve for x
   x = 222,625,436,224/217,816
6. Step 6: Final answer
   x = 1,022,080.27