Finding the Third Proportional to 104,978 and 223,970

Step by Step Solution

1. Step 1: Write the proportion equation
   104,978 : 223,970 = 223,970 : x
2. Step 2: Convert to fraction form
   104,978/223,970 = 223,970/x
3. Step 3: Cross multiply
   104,978x = 223,970 × 223,970
4. Step 4: Simplify right side
   104,978x = 50,162,560,900
5. Step 5: Solve for x
   x = 50,162,560,900/104,978
6. Step 6: Final answer
   x = 477,838.79