Finding the Third Proportional to 111,999 and 173,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,999 : 173,668.50 = 173,668.50 : x
2. Step 2: Convert to fraction form
   111,999/173,668.50 = 173,668.50/x
3. Step 3: Cross multiply
   111,999x = 173,668.50 × 173,668.50
4. Step 4: Simplify right side
   111,999x = 30,160,747,892.25
5. Step 5: Solve for x
   x = 30,160,747,892.25/111,999
6. Step 6: Final answer
   x = 269,294.80