Finding the Third Proportional to 55,843.50 and 119,478

Step by Step Solution

1. Step 1: Write the proportion equation
   55,843.50 : 119,478 = 119,478 : x
2. Step 2: Convert to fraction form
   55,843.50/119,478 = 119,478/x
3. Step 3: Cross multiply
   55,843.50x = 119,478 × 119,478
4. Step 4: Simplify right side
   55,843.50x = 14,274,992,484
5. Step 5: Solve for x
   x = 14,274,992,484/55,843.50
6. Step 6: Final answer
   x = 255,624.96