Finding the Third Proportional to 114,694 and 173,768

Step by Step Solution

1. Step 1: Write the proportion equation
   114,694 : 173,768 = 173,768 : x
2. Step 2: Convert to fraction form
   114,694/173,768 = 173,768/x
3. Step 3: Cross multiply
   114,694x = 173,768 × 173,768
4. Step 4: Simplify right side
   114,694x = 30,195,317,824
5. Step 5: Solve for x
   x = 30,195,317,824/114,694
6. Step 6: Final answer
   x = 263,268.50