Finding the Third Proportional to 105,888.75 and 231,825

Step by Step Solution

1. Step 1: Write the proportion equation
   105,888.75 : 231,825 = 231,825 : x
2. Step 2: Convert to fraction form
   105,888.75/231,825 = 231,825/x
3. Step 3: Cross multiply
   105,888.75x = 231,825 × 231,825
4. Step 4: Simplify right side
   105,888.75x = 53,742,830,625
5. Step 5: Solve for x
   x = 53,742,830,625/105,888.75
6. Step 6: Final answer
   x = 507,540.51