Finding the Third Proportional to 103,678 and 222,094

Step by Step Solution

1. Step 1: Write the proportion equation
   103,678 : 222,094 = 222,094 : x
2. Step 2: Convert to fraction form
   103,678/222,094 = 222,094/x
3. Step 3: Cross multiply
   103,678x = 222,094 × 222,094
4. Step 4: Simplify right side
   103,678x = 49,325,744,836
5. Step 5: Solve for x
   x = 49,325,744,836/103,678
6. Step 6: Final answer
   x = 475,759.03