Finding the Third Proportional to 55,494.50 and 119,857

Step by Step Solution

1. Step 1: Write the proportion equation
   55,494.50 : 119,857 = 119,857 : x
2. Step 2: Convert to fraction form
   55,494.50/119,857 = 119,857/x
3. Step 3: Cross multiply
   55,494.50x = 119,857 × 119,857
4. Step 4: Simplify right side
   55,494.50x = 14,365,700,449
5. Step 5: Solve for x
   x = 14,365,700,449/55,494.50
6. Step 6: Final answer
   x = 258,867.10