Finding the Third Proportional to 47,040 and 102,480

Step by Step Solution

1. Step 1: Write the proportion equation
   47,040 : 102,480 = 102,480 : x
2. Step 2: Convert to fraction form
   47,040/102,480 = 102,480/x
3. Step 3: Cross multiply
   47,040x = 102,480 × 102,480
4. Step 4: Simplify right side
   47,040x = 10,502,150,400
5. Step 5: Solve for x
   x = 10,502,150,400/47,040
6. Step 6: Final answer
   x = 223,260