Finding the Third Proportional to 150,014 and 320,116

Step by Step Solution

1. Step 1: Write the proportion equation
   150,014 : 320,116 = 320,116 : x
2. Step 2: Convert to fraction form
   150,014/320,116 = 320,116/x
3. Step 3: Cross multiply
   150,014x = 320,116 × 320,116
4. Step 4: Simplify right side
   150,014x = 102,474,253,456
5. Step 5: Solve for x
   x = 102,474,253,456/150,014
6. Step 6: Final answer
   x = 683,097.93