Finding the Third Proportional to 122,404 and 181,338

Step by Step Solution

1. Step 1: Write the proportion equation
   122,404 : 181,338 = 181,338 : x
2. Step 2: Convert to fraction form
   122,404/181,338 = 181,338/x
3. Step 3: Cross multiply
   122,404x = 181,338 × 181,338
4. Step 4: Simplify right side
   122,404x = 32,883,470,244
5. Step 5: Solve for x
   x = 32,883,470,244/122,404
6. Step 6: Final answer
   x = 268,647.02