Finding the Third Proportional to 47,970 and 105,456

Step by Step Solution

1. Step 1: Write the proportion equation
   47,970 : 105,456 = 105,456 : x
2. Step 2: Convert to fraction form
   47,970/105,456 = 105,456/x
3. Step 3: Cross multiply
   47,970x = 105,456 × 105,456
4. Step 4: Simplify right side
   47,970x = 11,120,967,936
5. Step 5: Solve for x
   x = 11,120,967,936/47,970
6. Step 6: Final answer
   x = 231,831.73