Finding the Third Proportional to 51,678 and 105,549

Step by Step Solution

1. Step 1: Write the proportion equation
   51,678 : 105,549 = 105,549 : x
2. Step 2: Convert to fraction form
   51,678/105,549 = 105,549/x
3. Step 3: Cross multiply
   51,678x = 105,549 × 105,549
4. Step 4: Simplify right side
   51,678x = 11,140,591,401
5. Step 5: Solve for x
   x = 11,140,591,401/51,678
6. Step 6: Final answer
   x = 215,577.06