Finding the Third Proportional to 105,352 and 229,638

Step by Step Solution

1. Step 1: Write the proportion equation
   105,352 : 229,638 = 229,638 : x
2. Step 2: Convert to fraction form
   105,352/229,638 = 229,638/x
3. Step 3: Cross multiply
   105,352x = 229,638 × 229,638
4. Step 4: Simplify right side
   105,352x = 52,733,611,044
5. Step 5: Solve for x
   x = 52,733,611,044/105,352
6. Step 6: Final answer
   x = 500,546.84