Finding the Third Proportional to 105,626 and 234,866

Step by Step Solution

1. Step 1: Write the proportion equation
   105,626 : 234,866 = 234,866 : x
2. Step 2: Convert to fraction form
   105,626/234,866 = 234,866/x
3. Step 3: Cross multiply
   105,626x = 234,866 × 234,866
4. Step 4: Simplify right side
   105,626x = 55,162,037,956
5. Step 5: Solve for x
   x = 55,162,037,956/105,626
6. Step 6: Final answer
   x = 522,239.20