Finding the Third Proportional to 105,736.50 and 228,897

Step by Step Solution

1. Step 1: Write the proportion equation
   105,736.50 : 228,897 = 228,897 : x
2. Step 2: Convert to fraction form
   105,736.50/228,897 = 228,897/x
3. Step 3: Cross multiply
   105,736.50x = 228,897 × 228,897
4. Step 4: Simplify right side
   105,736.50x = 52,393,836,609
5. Step 5: Solve for x
   x = 52,393,836,609/105,736.50
6. Step 6: Final answer
   x = 495,513.25