Finding the Third Proportional to 51,978 and 79,060

Step by Step Solution

1. Step 1: Write the proportion equation
   51,978 : 79,060 = 79,060 : x
2. Step 2: Convert to fraction form
   51,978/79,060 = 79,060/x
3. Step 3: Cross multiply
   51,978x = 79,060 × 79,060
4. Step 4: Simplify right side
   51,978x = 6,250,483,600
5. Step 5: Solve for x
   x = 6,250,483,600/51,978
6. Step 6: Final answer
   x = 120,252.48