Finding the Third Proportional to 188,680 and 256,380

Step by Step Solution

1. Step 1: Write the proportion equation
   188,680 : 256,380 = 256,380 : x
2. Step 2: Convert to fraction form
   188,680/256,380 = 256,380/x
3. Step 3: Cross multiply
   188,680x = 256,380 × 256,380
4. Step 4: Simplify right side
   188,680x = 65,730,704,400
5. Step 5: Solve for x
   x = 65,730,704,400/188,680
6. Step 6: Final answer
   x = 348,371.34