Finding the Third Proportional to 120,690 and 260,064

Step by Step Solution

1. Step 1: Write the proportion equation
   120,690 : 260,064 = 260,064 : x
2. Step 2: Convert to fraction form
   120,690/260,064 = 260,064/x
3. Step 3: Cross multiply
   120,690x = 260,064 × 260,064
4. Step 4: Simplify right side
   120,690x = 67,633,284,096
5. Step 5: Solve for x
   x = 67,633,284,096/120,690
6. Step 6: Final answer
   x = 560,388.47