Finding the Third Proportional to 105,579 and 224,112

Step by Step Solution

1. Step 1: Write the proportion equation
   105,579 : 224,112 = 224,112 : x
2. Step 2: Convert to fraction form
   105,579/224,112 = 224,112/x
3. Step 3: Cross multiply
   105,579x = 224,112 × 224,112
4. Step 4: Simplify right side
   105,579x = 50,226,188,544
5. Step 5: Solve for x
   x = 50,226,188,544/105,579
6. Step 6: Final answer
   x = 475,721.39