Finding the Third Proportional to 105,906.50 and 228,085

Step by Step Solution

1. Step 1: Write the proportion equation
   105,906.50 : 228,085 = 228,085 : x
2. Step 2: Convert to fraction form
   105,906.50/228,085 = 228,085/x
3. Step 3: Cross multiply
   105,906.50x = 228,085 × 228,085
4. Step 4: Simplify right side
   105,906.50x = 52,022,767,225
5. Step 5: Solve for x
   x = 52,022,767,225/105,906.50
6. Step 6: Final answer
   x = 491,214.11