Finding the Third Proportional to 105,900 and 227,156

Step by Step Solution

1. Step 1: Write the proportion equation
   105,900 : 227,156 = 227,156 : x
2. Step 2: Convert to fraction form
   105,900/227,156 = 227,156/x
3. Step 3: Cross multiply
   105,900x = 227,156 × 227,156
4. Step 4: Simplify right side
   105,900x = 51,599,848,336
5. Step 5: Solve for x
   x = 51,599,848,336/105,900
6. Step 6: Final answer
   x = 487,250.69