Finding the Third Proportional to 101,778 and 222,996

Step by Step Solution

1. Step 1: Write the proportion equation
   101,778 : 222,996 = 222,996 : x
2. Step 2: Convert to fraction form
   101,778/222,996 = 222,996/x
3. Step 3: Cross multiply
   101,778x = 222,996 × 222,996
4. Step 4: Simplify right side
   101,778x = 49,727,216,016
5. Step 5: Solve for x
   x = 49,727,216,016/101,778
6. Step 6: Final answer
   x = 488,585.12