Finding the Third Proportional to 55,826 and 120,398

Step by Step Solution

1. Step 1: Write the proportion equation
   55,826 : 120,398 = 120,398 : x
2. Step 2: Convert to fraction form
   55,826/120,398 = 120,398/x
3. Step 3: Cross multiply
   55,826x = 120,398 × 120,398
4. Step 4: Simplify right side
   55,826x = 14,495,678,404
5. Step 5: Solve for x
   x = 14,495,678,404/55,826
6. Step 6: Final answer
   x = 259,658.20