Finding the Third Proportional to 105,578 and 234,766

Step by Step Solution

1. Step 1: Write the proportion equation
   105,578 : 234,766 = 234,766 : x
2. Step 2: Convert to fraction form
   105,578/234,766 = 234,766/x
3. Step 3: Cross multiply
   105,578x = 234,766 × 234,766
4. Step 4: Simplify right side
   105,578x = 55,115,074,756
5. Step 5: Solve for x
   x = 55,115,074,756/105,578
6. Step 6: Final answer
   x = 522,031.81