Finding the Third Proportional to 127,920 and 204,360

Step by Step Solution

1. Step 1: Write the proportion equation
   127,920 : 204,360 = 204,360 : x
2. Step 2: Convert to fraction form
   127,920/204,360 = 204,360/x
3. Step 3: Cross multiply
   127,920x = 204,360 × 204,360
4. Step 4: Simplify right side
   127,920x = 41,763,009,600
5. Step 5: Solve for x
   x = 41,763,009,600/127,920
6. Step 6: Final answer
   x = 326,477.56