Finding the Third Proportional to 47,666 and 101,666

Step by Step Solution

1. Step 1: Write the proportion equation
   47,666 : 101,666 = 101,666 : x
2. Step 2: Convert to fraction form
   47,666/101,666 = 101,666/x
3. Step 3: Cross multiply
   47,666x = 101,666 × 101,666
4. Step 4: Simplify right side
   47,666x = 10,335,975,556
5. Step 5: Solve for x
   x = 10,335,975,556/47,666
6. Step 6: Final answer
   x = 216,841.68