Finding the Third Proportional to 121,496 and 262,960

Step by Step Solution

1. Step 1: Write the proportion equation
   121,496 : 262,960 = 262,960 : x
2. Step 2: Convert to fraction form
   121,496/262,960 = 262,960/x
3. Step 3: Cross multiply
   121,496x = 262,960 × 262,960
4. Step 4: Simplify right side
   121,496x = 69,147,961,600
5. Step 5: Solve for x
   x = 69,147,961,600/121,496
6. Step 6: Final answer
   x = 569,137.76