Finding the Third Proportional to 51,678 and 110,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,678 : 110,443.50 = 110,443.50 : x
2. Step 2: Convert to fraction form
   51,678/110,443.50 = 110,443.50/x
3. Step 3: Cross multiply
   51,678x = 110,443.50 × 110,443.50
4. Step 4: Simplify right side
   51,678x = 12,197,766,692.25
5. Step 5: Solve for x
   x = 12,197,766,692.25/51,678
6. Step 6: Final answer
   x = 236,034.03