Finding the Third Proportional to 105,583.50 and 227,670

Step by Step Solution

1. Step 1: Write the proportion equation
   105,583.50 : 227,670 = 227,670 : x
2. Step 2: Convert to fraction form
   105,583.50/227,670 = 227,670/x
3. Step 3: Cross multiply
   105,583.50x = 227,670 × 227,670
4. Step 4: Simplify right side
   105,583.50x = 51,833,628,900
5. Step 5: Solve for x
   x = 51,833,628,900/105,583.50
6. Step 6: Final answer
   x = 490,925.47