Finding the Third Proportional to 114,668 and 173,732

Step by Step Solution

1. Step 1: Write the proportion equation
   114,668 : 173,732 = 173,732 : x
2. Step 2: Convert to fraction form
   114,668/173,732 = 173,732/x
3. Step 3: Cross multiply
   114,668x = 173,732 × 173,732
4. Step 4: Simplify right side
   114,668x = 30,182,807,824
5. Step 5: Solve for x
   x = 30,182,807,824/114,668
6. Step 6: Final answer
   x = 263,219.10