Finding the Third Proportional to 120,504 and 186,814

Step by Step Solution

1. Step 1: Write the proportion equation
   120,504 : 186,814 = 186,814 : x
2. Step 2: Convert to fraction form
   120,504/186,814 = 186,814/x
3. Step 3: Cross multiply
   120,504x = 186,814 × 186,814
4. Step 4: Simplify right side
   120,504x = 34,899,470,596
5. Step 5: Solve for x
   x = 34,899,470,596/120,504
6. Step 6: Final answer
   x = 289,612.55