Finding the Third Proportional to 140,097 and 311,298

Step by Step Solution

1. Step 1: Write the proportion equation
   140,097 : 311,298 = 311,298 : x
2. Step 2: Convert to fraction form
   140,097/311,298 = 311,298/x
3. Step 3: Cross multiply
   140,097x = 311,298 × 311,298
4. Step 4: Simplify right side
   140,097x = 96,906,444,804
5. Step 5: Solve for x
   x = 96,906,444,804/140,097
6. Step 6: Final answer
   x = 691,709.64