Finding the Third Proportional to 222,678 and 456,288

Step by Step Solution

1. Step 1: Write the proportion equation
   222,678 : 456,288 = 456,288 : x
2. Step 2: Convert to fraction form
   222,678/456,288 = 456,288/x
3. Step 3: Cross multiply
   222,678x = 456,288 × 456,288
4. Step 4: Simplify right side
   222,678x = 208,198,738,944
5. Step 5: Solve for x
   x = 208,198,738,944/222,678
6. Step 6: Final answer
   x = 934,976.69