Finding the Third Proportional to 47,654 and 101,644

Step by Step Solution

1. Step 1: Write the proportion equation
   47,654 : 101,644 = 101,644 : x
2. Step 2: Convert to fraction form
   47,654/101,644 = 101,644/x
3. Step 3: Cross multiply
   47,654x = 101,644 × 101,644
4. Step 4: Simplify right side
   47,654x = 10,331,502,736
5. Step 5: Solve for x
   x = 10,331,502,736/47,654
6. Step 6: Final answer
   x = 216,802.42