Finding the Third Proportional to 111,960 and 231,480

Step by Step Solution

1. Step 1: Write the proportion equation
   111,960 : 231,480 = 231,480 : x
2. Step 2: Convert to fraction form
   111,960/231,480 = 231,480/x
3. Step 3: Cross multiply
   111,960x = 231,480 × 231,480
4. Step 4: Simplify right side
   111,960x = 53,582,990,400
5. Step 5: Solve for x
   x = 53,582,990,400/111,960
6. Step 6: Final answer
   x = 478,590.48