Finding the Third Proportional to 218,864 and 471,190

Step by Step Solution

1. Step 1: Write the proportion equation
   218,864 : 471,190 = 471,190 : x
2. Step 2: Convert to fraction form
   218,864/471,190 = 471,190/x
3. Step 3: Cross multiply
   218,864x = 471,190 × 471,190
4. Step 4: Simplify right side
   218,864x = 222,020,016,100
5. Step 5: Solve for x
   x = 222,020,016,100/218,864
6. Step 6: Final answer
   x = 1,014,419.99