Finding the Third Proportional to 105,022 and 230,457

Step by Step Solution

1. Step 1: Write the proportion equation
   105,022 : 230,457 = 230,457 : x
2. Step 2: Convert to fraction form
   105,022/230,457 = 230,457/x
3. Step 3: Cross multiply
   105,022x = 230,457 × 230,457
4. Step 4: Simplify right side
   105,022x = 53,110,428,849
5. Step 5: Solve for x
   x = 53,110,428,849/105,022
6. Step 6: Final answer
   x = 505,707.65