Finding the Third Proportional to 47,096 and 101,654

Step by Step Solution

1. Step 1: Write the proportion equation
   47,096 : 101,654 = 101,654 : x
2. Step 2: Convert to fraction form
   47,096/101,654 = 101,654/x
3. Step 3: Cross multiply
   47,096x = 101,654 × 101,654
4. Step 4: Simplify right side
   47,096x = 10,333,535,716
5. Step 5: Solve for x
   x = 10,333,535,716/47,096
6. Step 6: Final answer
   x = 219,414.30