Finding the Third Proportional to 105,346.50 and 228,555

Step by Step Solution

1. Step 1: Write the proportion equation
   105,346.50 : 228,555 = 228,555 : x
2. Step 2: Convert to fraction form
   105,346.50/228,555 = 228,555/x
3. Step 3: Cross multiply
   105,346.50x = 228,555 × 228,555
4. Step 4: Simplify right side
   105,346.50x = 52,237,388,025
5. Step 5: Solve for x
   x = 52,237,388,025/105,346.50
6. Step 6: Final answer
   x = 495,862.59