Finding the Third Proportional to 222,950 and 338,684

Step by Step Solution

1. Step 1: Write the proportion equation
   222,950 : 338,684 = 338,684 : x
2. Step 2: Convert to fraction form
   222,950/338,684 = 338,684/x
3. Step 3: Cross multiply
   222,950x = 338,684 × 338,684
4. Step 4: Simplify right side
   222,950x = 114,706,851,856
5. Step 5: Solve for x
   x = 114,706,851,856/222,950
6. Step 6: Final answer
   x = 514,495.86