Finding the Third Proportional to 120,676 and 264,680

Step by Step Solution

1. Step 1: Write the proportion equation
   120,676 : 264,680 = 264,680 : x
2. Step 2: Convert to fraction form
   120,676/264,680 = 264,680/x
3. Step 3: Cross multiply
   120,676x = 264,680 × 264,680
4. Step 4: Simplify right side
   120,676x = 70,055,502,400
5. Step 5: Solve for x
   x = 70,055,502,400/120,676
6. Step 6: Final answer
   x = 580,525.56