Finding the Third Proportional to 120,186 and 186,834

Step by Step Solution

1. Step 1: Write the proportion equation
   120,186 : 186,834 = 186,834 : x
2. Step 2: Convert to fraction form
   120,186/186,834 = 186,834/x
3. Step 3: Cross multiply
   120,186x = 186,834 × 186,834
4. Step 4: Simplify right side
   120,186x = 34,906,943,556
5. Step 5: Solve for x
   x = 34,906,943,556/120,186
6. Step 6: Final answer
   x = 290,441.01