Finding the Third Proportional to 47,166 and 101,680

Step by Step Solution

1. Step 1: Write the proportion equation
   47,166 : 101,680 = 101,680 : x
2. Step 2: Convert to fraction form
   47,166/101,680 = 101,680/x
3. Step 3: Cross multiply
   47,166x = 101,680 × 101,680
4. Step 4: Simplify right side
   47,166x = 10,338,822,400
5. Step 5: Solve for x
   x = 10,338,822,400/47,166
6. Step 6: Final answer
   x = 219,200.75