Finding the Third Proportional to 222,885 and 434,592

Step by Step Solution

1. Step 1: Write the proportion equation
   222,885 : 434,592 = 434,592 : x
2. Step 2: Convert to fraction form
   222,885/434,592 = 434,592/x
3. Step 3: Cross multiply
   222,885x = 434,592 × 434,592
4. Step 4: Simplify right side
   222,885x = 188,870,206,464
5. Step 5: Solve for x
   x = 188,870,206,464/222,885
6. Step 6: Final answer
   x = 847,388.59