Finding the Third Proportional to 47,744 and 104,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,744 : 104,668.50 = 104,668.50 : x
2. Step 2: Convert to fraction form
   47,744/104,668.50 = 104,668.50/x
3. Step 3: Cross multiply
   47,744x = 104,668.50 × 104,668.50
4. Step 4: Simplify right side
   47,744x = 10,955,494,892.25
5. Step 5: Solve for x
   x = 10,955,494,892.25/47,744
6. Step 6: Final answer
   x = 229,463.28