Finding the Third Proportional to 218,842 and 471,164

Step by Step Solution

1. Step 1: Write the proportion equation
   218,842 : 471,164 = 471,164 : x
2. Step 2: Convert to fraction form
   218,842/471,164 = 471,164/x
3. Step 3: Cross multiply
   218,842x = 471,164 × 471,164
4. Step 4: Simplify right side
   218,842x = 221,995,514,896
5. Step 5: Solve for x
   x = 221,995,514,896/218,842
6. Step 6: Final answer
   x = 1,014,410.01