Finding the Third Proportional to 114,204 and 175,674

Step by Step Solution

1. Step 1: Write the proportion equation
   114,204 : 175,674 = 175,674 : x
2. Step 2: Convert to fraction form
   114,204/175,674 = 175,674/x
3. Step 3: Cross multiply
   114,204x = 175,674 × 175,674
4. Step 4: Simplify right side
   114,204x = 30,861,354,276
5. Step 5: Solve for x
   x = 30,861,354,276/114,204
6. Step 6: Final answer
   x = 270,230.06