Finding the Third Proportional to 105,630 and 229,476

Step by Step Solution

1. Step 1: Write the proportion equation
   105,630 : 229,476 = 229,476 : x
2. Step 2: Convert to fraction form
   105,630/229,476 = 229,476/x
3. Step 3: Cross multiply
   105,630x = 229,476 × 229,476
4. Step 4: Simplify right side
   105,630x = 52,659,234,576
5. Step 5: Solve for x
   x = 52,659,234,576/105,630
6. Step 6: Final answer
   x = 498,525.37