Finding the Third Proportional to 151,096 and 320,138

Step by Step Solution

1. Step 1: Write the proportion equation
   151,096 : 320,138 = 320,138 : x
2. Step 2: Convert to fraction form
   151,096/320,138 = 320,138/x
3. Step 3: Cross multiply
   151,096x = 320,138 × 320,138
4. Step 4: Simplify right side
   151,096x = 102,488,339,044
5. Step 5: Solve for x
   x = 102,488,339,044/151,096
6. Step 6: Final answer
   x = 678,299.49