Finding the Third Proportional to 105,346 and 229,628

Step by Step Solution

1. Step 1: Write the proportion equation
   105,346 : 229,628 = 229,628 : x
2. Step 2: Convert to fraction form
   105,346/229,628 = 229,628/x
3. Step 3: Cross multiply
   105,346x = 229,628 × 229,628
4. Step 4: Simplify right side
   105,346x = 52,729,018,384
5. Step 5: Solve for x
   x = 52,729,018,384/105,346
6. Step 6: Final answer
   x = 500,531.76