Finding the Third Proportional to 52,978 and 120,780

Step by Step Solution

1. Step 1: Write the proportion equation
   52,978 : 120,780 = 120,780 : x
2. Step 2: Convert to fraction form
   52,978/120,780 = 120,780/x
3. Step 3: Cross multiply
   52,978x = 120,780 × 120,780
4. Step 4: Simplify right side
   52,978x = 14,587,808,400
5. Step 5: Solve for x
   x = 14,587,808,400/52,978
6. Step 6: Final answer
   x = 275,355.97