Finding the Third Proportional to 105,411.75 and 231,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,411.75 : 231,559.50 = 231,559.50 : x
2. Step 2: Convert to fraction form
   105,411.75/231,559.50 = 231,559.50/x
3. Step 3: Cross multiply
   105,411.75x = 231,559.50 × 231,559.50
4. Step 4: Simplify right side
   105,411.75x = 53,619,802,040.25
5. Step 5: Solve for x
   x = 53,619,802,040.25/105,411.75
6. Step 6: Final answer
   x = 508,670.07