Finding the Third Proportional to 298,138 and 443,151

Step by Step Solution

1. Step 1: Write the proportion equation
   298,138 : 443,151 = 443,151 : x
2. Step 2: Convert to fraction form
   298,138/443,151 = 443,151/x
3. Step 3: Cross multiply
   298,138x = 443,151 × 443,151
4. Step 4: Simplify right side
   298,138x = 196,382,808,801
5. Step 5: Solve for x
   x = 196,382,808,801/298,138
6. Step 6: Final answer
   x = 658,697.68