Finding the Third Proportional to 55,227.50 and 119,277

Step by Step Solution

1. Step 1: Write the proportion equation
   55,227.50 : 119,277 = 119,277 : x
2. Step 2: Convert to fraction form
   55,227.50/119,277 = 119,277/x
3. Step 3: Cross multiply
   55,227.50x = 119,277 × 119,277
4. Step 4: Simplify right side
   55,227.50x = 14,227,002,729
5. Step 5: Solve for x
   x = 14,227,002,729/55,227.50
6. Step 6: Final answer
   x = 257,607.22