Finding the Third Proportional to 151,400 and 217,256

Step by Step Solution

1. Step 1: Write the proportion equation
   151,400 : 217,256 = 217,256 : x
2. Step 2: Convert to fraction form
   151,400/217,256 = 217,256/x
3. Step 3: Cross multiply
   151,400x = 217,256 × 217,256
4. Step 4: Simplify right side
   151,400x = 47,200,169,536
5. Step 5: Solve for x
   x = 47,200,169,536/151,400
6. Step 6: Final answer
   x = 311,758.06