Finding the Third Proportional to 204,838 and 298,250

Step by Step Solution

1. Step 1: Write the proportion equation
   204,838 : 298,250 = 298,250 : x
2. Step 2: Convert to fraction form
   204,838/298,250 = 298,250/x
3. Step 3: Cross multiply
   204,838x = 298,250 × 298,250
4. Step 4: Simplify right side
   204,838x = 88,953,062,500
5. Step 5: Solve for x
   x = 88,953,062,500/204,838
6. Step 6: Final answer
   x = 434,260.55