Finding the Third Proportional to 105,208.50 and 230,802

Step by Step Solution

1. Step 1: Write the proportion equation
   105,208.50 : 230,802 = 230,802 : x
2. Step 2: Convert to fraction form
   105,208.50/230,802 = 230,802/x
3. Step 3: Cross multiply
   105,208.50x = 230,802 × 230,802
4. Step 4: Simplify right side
   105,208.50x = 53,269,563,204
5. Step 5: Solve for x
   x = 53,269,563,204/105,208.50
6. Step 6: Final answer
   x = 506,323.76