Finding the Third Proportional to 199,038 and 298,434

Step by Step Solution

1. Step 1: Write the proportion equation
   199,038 : 298,434 = 298,434 : x
2. Step 2: Convert to fraction form
   199,038/298,434 = 298,434/x
3. Step 3: Cross multiply
   199,038x = 298,434 × 298,434
4. Step 4: Simplify right side
   199,038x = 89,062,852,356
5. Step 5: Solve for x
   x = 89,062,852,356/199,038
6. Step 6: Final answer
   x = 447,466.58