Finding the Third Proportional to 105,942.75 and 228,690

Step by Step Solution

1. Step 1: Write the proportion equation
   105,942.75 : 228,690 = 228,690 : x
2. Step 2: Convert to fraction form
   105,942.75/228,690 = 228,690/x
3. Step 3: Cross multiply
   105,942.75x = 228,690 × 228,690
4. Step 4: Simplify right side
   105,942.75x = 52,299,116,100
5. Step 5: Solve for x
   x = 52,299,116,100/105,942.75
6. Step 6: Final answer
   x = 493,654.51