Finding the Third Proportional to 105,351 and 229,638

Step by Step Solution

1. Step 1: Write the proportion equation
   105,351 : 229,638 = 229,638 : x
2. Step 2: Convert to fraction form
   105,351/229,638 = 229,638/x
3. Step 3: Cross multiply
   105,351x = 229,638 × 229,638
4. Step 4: Simplify right side
   105,351x = 52,733,611,044
5. Step 5: Solve for x
   x = 52,733,611,044/105,351
6. Step 6: Final answer
   x = 500,551.59