Finding the Third Proportional to 140,528 and 304,384

Step by Step Solution

1. Step 1: Write the proportion equation
   140,528 : 304,384 = 304,384 : x
2. Step 2: Convert to fraction form
   140,528/304,384 = 304,384/x
3. Step 3: Cross multiply
   140,528x = 304,384 × 304,384
4. Step 4: Simplify right side
   140,528x = 92,649,619,456
5. Step 5: Solve for x
   x = 92,649,619,456/140,528
6. Step 6: Final answer
   x = 659,296.51