Finding the Third Proportional to 105,734.50 and 228,893

Step by Step Solution

1. Step 1: Write the proportion equation
   105,734.50 : 228,893 = 228,893 : x
2. Step 2: Convert to fraction form
   105,734.50/228,893 = 228,893/x
3. Step 3: Cross multiply
   105,734.50x = 228,893 × 228,893
4. Step 4: Simplify right side
   105,734.50x = 52,392,005,449
5. Step 5: Solve for x
   x = 52,392,005,449/105,734.50
6. Step 6: Final answer
   x = 495,505.30