Finding the Third Proportional to 47,980 and 101,806

Step by Step Solution

1. Step 1: Write the proportion equation
   47,980 : 101,806 = 101,806 : x
2. Step 2: Convert to fraction form
   47,980/101,806 = 101,806/x
3. Step 3: Cross multiply
   47,980x = 101,806 × 101,806
4. Step 4: Simplify right side
   47,980x = 10,364,461,636
5. Step 5: Solve for x
   x = 10,364,461,636/47,980
6. Step 6: Final answer
   x = 216,016.29