Finding the Third Proportional to 105,019.50 and 230,451.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,019.50 : 230,451.75 = 230,451.75 : x
2. Step 2: Convert to fraction form
   105,019.50/230,451.75 = 230,451.75/x
3. Step 3: Cross multiply
   105,019.50x = 230,451.75 × 230,451.75
4. Step 4: Simplify right side
   105,019.50x = 53,108,009,078.06
5. Step 5: Solve for x
   x = 53,108,009,078.06/105,019.50
6. Step 6: Final answer
   x = 505,696.65