Finding the Third Proportional to 105,089 and 230,617

Step by Step Solution

1. Step 1: Write the proportion equation
   105,089 : 230,617 = 230,617 : x
2. Step 2: Convert to fraction form
   105,089/230,617 = 230,617/x
3. Step 3: Cross multiply
   105,089x = 230,617 × 230,617
4. Step 4: Simplify right side
   105,089x = 53,184,200,689
5. Step 5: Solve for x
   x = 53,184,200,689/105,089
6. Step 6: Final answer
   x = 506,087.23