Finding the Third Proportional to 55,311 and 120,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,311 : 120,667.50 = 120,667.50 : x
2. Step 2: Convert to fraction form
   55,311/120,667.50 = 120,667.50/x
3. Step 3: Cross multiply
   55,311x = 120,667.50 × 120,667.50
4. Step 4: Simplify right side
   55,311x = 14,560,645,556.25
5. Step 5: Solve for x
   x = 14,560,645,556.25/55,311
6. Step 6: Final answer
   x = 263,250.45