Finding the Third Proportional to 47,850 and 111,765

Step by Step Solution

1. Step 1: Write the proportion equation
   47,850 : 111,765 = 111,765 : x
2. Step 2: Convert to fraction form
   47,850/111,765 = 111,765/x
3. Step 3: Cross multiply
   47,850x = 111,765 × 111,765
4. Step 4: Simplify right side
   47,850x = 12,491,415,225
5. Step 5: Solve for x
   x = 12,491,415,225/47,850
6. Step 6: Final answer
   x = 261,053.61