Finding the Third Proportional to 120,978 and 262,656

Step by Step Solution

1. Step 1: Write the proportion equation
   120,978 : 262,656 = 262,656 : x
2. Step 2: Convert to fraction form
   120,978/262,656 = 262,656/x
3. Step 3: Cross multiply
   120,978x = 262,656 × 262,656
4. Step 4: Simplify right side
   120,978x = 68,988,174,336
5. Step 5: Solve for x
   x = 68,988,174,336/120,978
6. Step 6: Final answer
   x = 570,253.88