Finding the Third Proportional to 47,852 and 111,770

Step by Step Solution

1. Step 1: Write the proportion equation
   47,852 : 111,770 = 111,770 : x
2. Step 2: Convert to fraction form
   47,852/111,770 = 111,770/x
3. Step 3: Cross multiply
   47,852x = 111,770 × 111,770
4. Step 4: Simplify right side
   47,852x = 12,492,532,900
5. Step 5: Solve for x
   x = 12,492,532,900/47,852
6. Step 6: Final answer
   x = 261,066.06