Finding the Third Proportional to 105,367.50 and 228,231

Step by Step Solution

1. Step 1: Write the proportion equation
   105,367.50 : 228,231 = 228,231 : x
2. Step 2: Convert to fraction form
   105,367.50/228,231 = 228,231/x
3. Step 3: Cross multiply
   105,367.50x = 228,231 × 228,231
4. Step 4: Simplify right side
   105,367.50x = 52,089,389,361
5. Step 5: Solve for x
   x = 52,089,389,361/105,367.50
6. Step 6: Final answer
   x = 494,359.17