Finding the Third Proportional to 218,464 and 470,512

Step by Step Solution

1. Step 1: Write the proportion equation
   218,464 : 470,512 = 470,512 : x
2. Step 2: Convert to fraction form
   218,464/470,512 = 470,512/x
3. Step 3: Cross multiply
   218,464x = 470,512 × 470,512
4. Step 4: Simplify right side
   218,464x = 221,381,542,144
5. Step 5: Solve for x
   x = 221,381,542,144/218,464
6. Step 6: Final answer
   x = 1,013,354.80