Finding the Third Proportional to 55,771 and 120,978

Step by Step Solution

1. Step 1: Write the proportion equation
   55,771 : 120,978 = 120,978 : x
2. Step 2: Convert to fraction form
   55,771/120,978 = 120,978/x
3. Step 3: Cross multiply
   55,771x = 120,978 × 120,978
4. Step 4: Simplify right side
   55,771x = 14,635,676,484
5. Step 5: Solve for x
   x = 14,635,676,484/55,771
6. Step 6: Final answer
   x = 262,424.49