Finding the Third Proportional to 115,976 and 222,736

Step by Step Solution

1. Step 1: Write the proportion equation
   115,976 : 222,736 = 222,736 : x
2. Step 2: Convert to fraction form
   115,976/222,736 = 222,736/x
3. Step 3: Cross multiply
   115,976x = 222,736 × 222,736
4. Step 4: Simplify right side
   115,976x = 49,611,325,696
5. Step 5: Solve for x
   x = 49,611,325,696/115,976
6. Step 6: Final answer
   x = 427,772.35