Finding the Third Proportional to 140,574 and 309,944

Step by Step Solution

1. Step 1: Write the proportion equation
   140,574 : 309,944 = 309,944 : x
2. Step 2: Convert to fraction form
   140,574/309,944 = 309,944/x
3. Step 3: Cross multiply
   140,574x = 309,944 × 309,944
4. Step 4: Simplify right side
   140,574x = 96,065,283,136
5. Step 5: Solve for x
   x = 96,065,283,136/140,574
6. Step 6: Final answer
   x = 683,378.74