Finding the Third Proportional to 101,296 and 222,944

Step by Step Solution

1. Step 1: Write the proportion equation
   101,296 : 222,944 = 222,944 : x
2. Step 2: Convert to fraction form
   101,296/222,944 = 222,944/x
3. Step 3: Cross multiply
   101,296x = 222,944 × 222,944
4. Step 4: Simplify right side
   101,296x = 49,704,027,136
5. Step 5: Solve for x
   x = 49,704,027,136/101,296
6. Step 6: Final answer
   x = 490,681.05