Finding the Third Proportional to 122,664 and 186,180

Step by Step Solution

1. Step 1: Write the proportion equation
   122,664 : 186,180 = 186,180 : x
2. Step 2: Convert to fraction form
   122,664/186,180 = 186,180/x
3. Step 3: Cross multiply
   122,664x = 186,180 × 186,180
4. Step 4: Simplify right side
   122,664x = 34,662,992,400
5. Step 5: Solve for x
   x = 34,662,992,400/122,664
6. Step 6: Final answer
   x = 282,584.89