Finding the Third Proportional to 105,187.50 and 228,006

Step by Step Solution

1. Step 1: Write the proportion equation
   105,187.50 : 228,006 = 228,006 : x
2. Step 2: Convert to fraction form
   105,187.50/228,006 = 228,006/x
3. Step 3: Cross multiply
   105,187.50x = 228,006 × 228,006
4. Step 4: Simplify right side
   105,187.50x = 51,986,736,036
5. Step 5: Solve for x
   x = 51,986,736,036/105,187.50
6. Step 6: Final answer
   x = 494,229.22