Finding the Third Proportional to 105,065 and 230,529

Step by Step Solution

1. Step 1: Write the proportion equation
   105,065 : 230,529 = 230,529 : x
2. Step 2: Convert to fraction form
   105,065/230,529 = 230,529/x
3. Step 3: Cross multiply
   105,065x = 230,529 × 230,529
4. Step 4: Simplify right side
   105,065x = 53,143,619,841
5. Step 5: Solve for x
   x = 53,143,619,841/105,065
6. Step 6: Final answer
   x = 505,816.59