Finding the Third Proportional to 47,766 and 101,222

Step by Step Solution

1. Step 1: Write the proportion equation
   47,766 : 101,222 = 101,222 : x
2. Step 2: Convert to fraction form
   47,766/101,222 = 101,222/x
3. Step 3: Cross multiply
   47,766x = 101,222 × 101,222
4. Step 4: Simplify right side
   47,766x = 10,245,893,284
5. Step 5: Solve for x
   x = 10,245,893,284/47,766
6. Step 6: Final answer
   x = 214,501.81