Finding the Third Proportional to 105,348 and 229,632

Step by Step Solution

1. Step 1: Write the proportion equation
   105,348 : 229,632 = 229,632 : x
2. Step 2: Convert to fraction form
   105,348/229,632 = 229,632/x
3. Step 3: Cross multiply
   105,348x = 229,632 × 229,632
4. Step 4: Simplify right side
   105,348x = 52,730,855,424
5. Step 5: Solve for x
   x = 52,730,855,424/105,348
6. Step 6: Final answer
   x = 500,539.69