Finding the Third Proportional to 127,980 and 204,460

Step by Step Solution

1. Step 1: Write the proportion equation
   127,980 : 204,460 = 204,460 : x
2. Step 2: Convert to fraction form
   127,980/204,460 = 204,460/x
3. Step 3: Cross multiply
   127,980x = 204,460 × 204,460
4. Step 4: Simplify right side
   127,980x = 41,803,891,600
5. Step 5: Solve for x
   x = 41,803,891,600/127,980
6. Step 6: Final answer
   x = 326,643.94