Finding the Third Proportional to 106,231.50 and 228,825

Step by Step Solution

1. Step 1: Write the proportion equation
   106,231.50 : 228,825 = 228,825 : x
2. Step 2: Convert to fraction form
   106,231.50/228,825 = 228,825/x
3. Step 3: Cross multiply
   106,231.50x = 228,825 × 228,825
4. Step 4: Simplify right side
   106,231.50x = 52,360,880,625
5. Step 5: Solve for x
   x = 52,360,880,625/106,231.50
6. Step 6: Final answer
   x = 492,894.11