Finding the Third Proportional to 101,314 and 222,212

Step by Step Solution

1. Step 1: Write the proportion equation
   101,314 : 222,212 = 222,212 : x
2. Step 2: Convert to fraction form
   101,314/222,212 = 222,212/x
3. Step 3: Cross multiply
   101,314x = 222,212 × 222,212
4. Step 4: Simplify right side
   101,314x = 49,378,172,944
5. Step 5: Solve for x
   x = 49,378,172,944/101,314
6. Step 6: Final answer
   x = 487,377.59