Finding the Third Proportional to 47,867 and 102,250

Step by Step Solution

1. Step 1: Write the proportion equation
   47,867 : 102,250 = 102,250 : x
2. Step 2: Convert to fraction form
   47,867/102,250 = 102,250/x
3. Step 3: Cross multiply
   47,867x = 102,250 × 102,250
4. Step 4: Simplify right side
   47,867x = 10,455,062,500
5. Step 5: Solve for x
   x = 10,455,062,500/47,867
6. Step 6: Final answer
   x = 218,419.00