Finding the Third Proportional to 120,012 and 262,616

Step by Step Solution

1. Step 1: Write the proportion equation
   120,012 : 262,616 = 262,616 : x
2. Step 2: Convert to fraction form
   120,012/262,616 = 262,616/x
3. Step 3: Cross multiply
   120,012x = 262,616 × 262,616
4. Step 4: Simplify right side
   120,012x = 68,967,163,456
5. Step 5: Solve for x
   x = 68,967,163,456/120,012
6. Step 6: Final answer
   x = 574,668.90