Finding the Third Proportional to 105,741 and 230,436

Step by Step Solution

1. Step 1: Write the proportion equation
   105,741 : 230,436 = 230,436 : x
2. Step 2: Convert to fraction form
   105,741/230,436 = 230,436/x
3. Step 3: Cross multiply
   105,741x = 230,436 × 230,436
4. Step 4: Simplify right side
   105,741x = 53,100,750,096
5. Step 5: Solve for x
   x = 53,100,750,096/105,741
6. Step 6: Final answer
   x = 502,177.49