Finding the Third Proportional to 140,223 and 304,105

Step by Step Solution

1. Step 1: Write the proportion equation
   140,223 : 304,105 = 304,105 : x
2. Step 2: Convert to fraction form
   140,223/304,105 = 304,105/x
3. Step 3: Cross multiply
   140,223x = 304,105 × 304,105
4. Step 4: Simplify right side
   140,223x = 92,479,851,025
5. Step 5: Solve for x
   x = 92,479,851,025/140,223
6. Step 6: Final answer
   x = 659,519.84