Finding the Third Proportional to 107,590 and 227,978

Step by Step Solution

1. Step 1: Write the proportion equation
   107,590 : 227,978 = 227,978 : x
2. Step 2: Convert to fraction form
   107,590/227,978 = 227,978/x
3. Step 3: Cross multiply
   107,590x = 227,978 × 227,978
4. Step 4: Simplify right side
   107,590x = 51,973,968,484
5. Step 5: Solve for x
   x = 51,973,968,484/107,590
6. Step 6: Final answer
   x = 483,074.34