Finding the Third Proportional to 188,684 and 256,386

Step by Step Solution

1. Step 1: Write the proportion equation
   188,684 : 256,386 = 256,386 : x
2. Step 2: Convert to fraction form
   188,684/256,386 = 256,386/x
3. Step 3: Cross multiply
   188,684x = 256,386 × 256,386
4. Step 4: Simplify right side
   188,684x = 65,733,780,996
5. Step 5: Solve for x
   x = 65,733,780,996/188,684
6. Step 6: Final answer
   x = 348,380.26