Finding the Third Proportional to 105,740 and 228,904

Step by Step Solution

1. Step 1: Write the proportion equation
   105,740 : 228,904 = 228,904 : x
2. Step 2: Convert to fraction form
   105,740/228,904 = 228,904/x
3. Step 3: Cross multiply
   105,740x = 228,904 × 228,904
4. Step 4: Simplify right side
   105,740x = 52,397,041,216
5. Step 5: Solve for x
   x = 52,397,041,216/105,740
6. Step 6: Final answer
   x = 495,527.15