Finding the Third Proportional to 222,782 and 470,404

Step by Step Solution

1. Step 1: Write the proportion equation
   222,782 : 470,404 = 470,404 : x
2. Step 2: Convert to fraction form
   222,782/470,404 = 470,404/x
3. Step 3: Cross multiply
   222,782x = 470,404 × 470,404
4. Step 4: Simplify right side
   222,782x = 221,279,923,216
5. Step 5: Solve for x
   x = 221,279,923,216/222,782
6. Step 6: Final answer
   x = 993,257.64