Finding the Third Proportional to 120,380 and 256,314

Step by Step Solution

1. Step 1: Write the proportion equation
   120,380 : 256,314 = 256,314 : x
2. Step 2: Convert to fraction form
   120,380/256,314 = 256,314/x
3. Step 3: Cross multiply
   120,380x = 256,314 × 256,314
4. Step 4: Simplify right side
   120,380x = 65,696,866,596
5. Step 5: Solve for x
   x = 65,696,866,596/120,380
6. Step 6: Final answer
   x = 545,745.69