Finding the Third Proportional to 105,272 and 230,227

Step by Step Solution

1. Step 1: Write the proportion equation
   105,272 : 230,227 = 230,227 : x
2. Step 2: Convert to fraction form
   105,272/230,227 = 230,227/x
3. Step 3: Cross multiply
   105,272x = 230,227 × 230,227
4. Step 4: Simplify right side
   105,272x = 53,004,471,529
5. Step 5: Solve for x
   x = 53,004,471,529/105,272
6. Step 6: Final answer
   x = 503,500.19