Finding the Third Proportional to 114,383.50 and 173,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,383.50 : 173,519.50 = 173,519.50 : x
2. Step 2: Convert to fraction form
   114,383.50/173,519.50 = 173,519.50/x
3. Step 3: Cross multiply
   114,383.50x = 173,519.50 × 173,519.50
4. Step 4: Simplify right side
   114,383.50x = 30,109,016,880.25
5. Step 5: Solve for x
   x = 30,109,016,880.25/114,383.50
6. Step 6: Final answer
   x = 263,228.67