Finding the Third Proportional to 55,182 and 120,390

Step by Step Solution

1. Step 1: Write the proportion equation
   55,182 : 120,390 = 120,390 : x
2. Step 2: Convert to fraction form
   55,182/120,390 = 120,390/x
3. Step 3: Cross multiply
   55,182x = 120,390 × 120,390
4. Step 4: Simplify right side
   55,182x = 14,493,752,100
5. Step 5: Solve for x
   x = 14,493,752,100/55,182
6. Step 6: Final answer
   x = 262,653.62