Finding the Third Proportional to 120,514 and 262,476

Step by Step Solution

1. Step 1: Write the proportion equation
   120,514 : 262,476 = 262,476 : x
2. Step 2: Convert to fraction form
   120,514/262,476 = 262,476/x
3. Step 3: Cross multiply
   120,514x = 262,476 × 262,476
4. Step 4: Simplify right side
   120,514x = 68,893,650,576
5. Step 5: Solve for x
   x = 68,893,650,576/120,514
6. Step 6: Final answer
   x = 571,665.12