Finding the Third Proportional to 101,719 and 222,814

Step by Step Solution

1. Step 1: Write the proportion equation
   101,719 : 222,814 = 222,814 : x
2. Step 2: Convert to fraction form
   101,719/222,814 = 222,814/x
3. Step 3: Cross multiply
   101,719x = 222,814 × 222,814
4. Step 4: Simplify right side
   101,719x = 49,646,078,596
5. Step 5: Solve for x
   x = 49,646,078,596/101,719
6. Step 6: Final answer
   x = 488,070.85