Finding the Third Proportional to 105,984 and 227,322

Step by Step Solution

1. Step 1: Write the proportion equation
   105,984 : 227,322 = 227,322 : x
2. Step 2: Convert to fraction form
   105,984/227,322 = 227,322/x
3. Step 3: Cross multiply
   105,984x = 227,322 × 227,322
4. Step 4: Simplify right side
   105,984x = 51,675,291,684
5. Step 5: Solve for x
   x = 51,675,291,684/105,984
6. Step 6: Final answer
   x = 487,576.35