Finding the Third Proportional to 188,695 and 256,401

Step by Step Solution

1. Step 1: Write the proportion equation
   188,695 : 256,401 = 256,401 : x
2. Step 2: Convert to fraction form
   188,695/256,401 = 256,401/x
3. Step 3: Cross multiply
   188,695x = 256,401 × 256,401
4. Step 4: Simplify right side
   188,695x = 65,741,472,801
5. Step 5: Solve for x
   x = 65,741,472,801/188,695
6. Step 6: Final answer
   x = 348,400.71