Finding the Third Proportional to 105,853.50 and 228,327

Step by Step Solution

1. Step 1: Write the proportion equation
   105,853.50 : 228,327 = 228,327 : x
2. Step 2: Convert to fraction form
   105,853.50/228,327 = 228,327/x
3. Step 3: Cross multiply
   105,853.50x = 228,327 × 228,327
4. Step 4: Simplify right side
   105,853.50x = 52,133,218,929
5. Step 5: Solve for x
   x = 52,133,218,929/105,853.50
6. Step 6: Final answer
   x = 492,503.50