Finding the Third Proportional to 47,976 and 105,492

Step by Step Solution

1. Step 1: Write the proportion equation
   47,976 : 105,492 = 105,492 : x
2. Step 2: Convert to fraction form
   47,976/105,492 = 105,492/x
3. Step 3: Cross multiply
   47,976x = 105,492 × 105,492
4. Step 4: Simplify right side
   47,976x = 11,128,562,064
5. Step 5: Solve for x
   x = 11,128,562,064/47,976
6. Step 6: Final answer
   x = 231,961.02