Finding the Third Proportional to 188,697 and 256,404

Step by Step Solution

1. Step 1: Write the proportion equation
   188,697 : 256,404 = 256,404 : x
2. Step 2: Convert to fraction form
   188,697/256,404 = 256,404/x
3. Step 3: Cross multiply
   188,697x = 256,404 × 256,404
4. Step 4: Simplify right side
   188,697x = 65,743,011,216
5. Step 5: Solve for x
   x = 65,743,011,216/188,697
6. Step 6: Final answer
   x = 348,405.17