Finding the Third Proportional to 105,286 and 230,254

Step by Step Solution

1. Step 1: Write the proportion equation
   105,286 : 230,254 = 230,254 : x
2. Step 2: Convert to fraction form
   105,286/230,254 = 230,254/x
3. Step 3: Cross multiply
   105,286x = 230,254 × 230,254
4. Step 4: Simplify right side
   105,286x = 53,016,904,516
5. Step 5: Solve for x
   x = 53,016,904,516/105,286
6. Step 6: Final answer
   x = 503,551.32