Finding the Third Proportional to 120,426 and 262,302

Step by Step Solution

1. Step 1: Write the proportion equation
   120,426 : 262,302 = 262,302 : x
2. Step 2: Convert to fraction form
   120,426/262,302 = 262,302/x
3. Step 3: Cross multiply
   120,426x = 262,302 × 262,302
4. Step 4: Simplify right side
   120,426x = 68,802,339,204
5. Step 5: Solve for x
   x = 68,802,339,204/120,426
6. Step 6: Final answer
   x = 571,324.62