Finding the Third Proportional to 105,147 and 229,302

Step by Step Solution

1. Step 1: Write the proportion equation
   105,147 : 229,302 = 229,302 : x
2. Step 2: Convert to fraction form
   105,147/229,302 = 229,302/x
3. Step 3: Cross multiply
   105,147x = 229,302 × 229,302
4. Step 4: Simplify right side
   105,147x = 52,579,407,204
5. Step 5: Solve for x
   x = 52,579,407,204/105,147
6. Step 6: Final answer
   x = 500,056.18