Finding the Third Proportional to 105,289 and 230,262

Step by Step Solution

1. Step 1: Write the proportion equation
   105,289 : 230,262 = 230,262 : x
2. Step 2: Convert to fraction form
   105,289/230,262 = 230,262/x
3. Step 3: Cross multiply
   105,289x = 230,262 × 230,262
4. Step 4: Simplify right side
   105,289x = 53,020,588,644
5. Step 5: Solve for x
   x = 53,020,588,644/105,289
6. Step 6: Final answer
   x = 503,571.97