Finding the Third Proportional to 218,546 and 471,546

Step by Step Solution

1. Step 1: Write the proportion equation
   218,546 : 471,546 = 471,546 : x
2. Step 2: Convert to fraction form
   218,546/471,546 = 471,546/x
3. Step 3: Cross multiply
   218,546x = 471,546 × 471,546
4. Step 4: Simplify right side
   218,546x = 222,355,630,116
5. Step 5: Solve for x
   x = 222,355,630,116/218,546
6. Step 6: Final answer
   x = 1,017,431.71