Finding the Third Proportional to 47,166 and 101,679

Step by Step Solution

1. Step 1: Write the proportion equation
   47,166 : 101,679 = 101,679 : x
2. Step 2: Convert to fraction form
   47,166/101,679 = 101,679/x
3. Step 3: Cross multiply
   47,166x = 101,679 × 101,679
4. Step 4: Simplify right side
   47,166x = 10,338,619,041
5. Step 5: Solve for x
   x = 10,338,619,041/47,166
6. Step 6: Final answer
   x = 219,196.43