Finding the Third Proportional to 105,344 and 229,624

Step by Step Solution

1. Step 1: Write the proportion equation
   105,344 : 229,624 = 229,624 : x
2. Step 2: Convert to fraction form
   105,344/229,624 = 229,624/x
3. Step 3: Cross multiply
   105,344x = 229,624 × 229,624
4. Step 4: Simplify right side
   105,344x = 52,727,181,376
5. Step 5: Solve for x
   x = 52,727,181,376/105,344
6. Step 6: Final answer
   x = 500,523.82