Finding the Third Proportional to 155,778 and 222,003

Step by Step Solution

1. Step 1: Write the proportion equation
   155,778 : 222,003 = 222,003 : x
2. Step 2: Convert to fraction form
   155,778/222,003 = 222,003/x
3. Step 3: Cross multiply
   155,778x = 222,003 × 222,003
4. Step 4: Simplify right side
   155,778x = 49,285,332,009
5. Step 5: Solve for x
   x = 49,285,332,009/155,778
6. Step 6: Final answer
   x = 316,381.85