Finding the Third Proportional to 105,022 and 230,458

Step by Step Solution

1. Step 1: Write the proportion equation
   105,022 : 230,458 = 230,458 : x
2. Step 2: Convert to fraction form
   105,022/230,458 = 230,458/x
3. Step 3: Cross multiply
   105,022x = 230,458 × 230,458
4. Step 4: Simplify right side
   105,022x = 53,110,889,764
5. Step 5: Solve for x
   x = 53,110,889,764/105,022
6. Step 6: Final answer
   x = 505,712.04