Finding the Third Proportional to 105,580.50 and 227,770

Step by Step Solution

1. Step 1: Write the proportion equation
   105,580.50 : 227,770 = 227,770 : x
2. Step 2: Convert to fraction form
   105,580.50/227,770 = 227,770/x
3. Step 3: Cross multiply
   105,580.50x = 227,770 × 227,770
4. Step 4: Simplify right side
   105,580.50x = 51,879,172,900
5. Step 5: Solve for x
   x = 51,879,172,900/105,580.50
6. Step 6: Final answer
   x = 491,370.78