Finding the Third Proportional to 105,898 and 227,152

Step by Step Solution

1. Step 1: Write the proportion equation
   105,898 : 227,152 = 227,152 : x
2. Step 2: Convert to fraction form
   105,898/227,152 = 227,152/x
3. Step 3: Cross multiply
   105,898x = 227,152 × 227,152
4. Step 4: Simplify right side
   105,898x = 51,598,031,104
5. Step 5: Solve for x
   x = 51,598,031,104/105,898
6. Step 6: Final answer
   x = 487,242.73