Finding the Third Proportional to 218,196 and 470,814

Step by Step Solution

1. Step 1: Write the proportion equation
   218,196 : 470,814 = 470,814 : x
2. Step 2: Convert to fraction form
   218,196/470,814 = 470,814/x
3. Step 3: Cross multiply
   218,196x = 470,814 × 470,814
4. Step 4: Simplify right side
   218,196x = 221,665,822,596
5. Step 5: Solve for x
   x = 221,665,822,596/218,196
6. Step 6: Final answer
   x = 1,015,902.32