Finding the Third Proportional to 120,826 and 185,800

Step by Step Solution

1. Step 1: Write the proportion equation
   120,826 : 185,800 = 185,800 : x
2. Step 2: Convert to fraction form
   120,826/185,800 = 185,800/x
3. Step 3: Cross multiply
   120,826x = 185,800 × 185,800
4. Step 4: Simplify right side
   120,826x = 34,521,640,000
5. Step 5: Solve for x
   x = 34,521,640,000/120,826
6. Step 6: Final answer
   x = 285,713.67