Finding the Third Proportional to 296,286 and 423,384

Step by Step Solution

1. Step 1: Write the proportion equation
   296,286 : 423,384 = 423,384 : x
2. Step 2: Convert to fraction form
   296,286/423,384 = 423,384/x
3. Step 3: Cross multiply
   296,286x = 423,384 × 423,384
4. Step 4: Simplify right side
   296,286x = 179,254,011,456
5. Step 5: Solve for x
   x = 179,254,011,456/296,286
6. Step 6: Final answer
   x = 605,003.31