Finding the Third Proportional to 47,546 and 101,842

Step by Step Solution

1. Step 1: Write the proportion equation
   47,546 : 101,842 = 101,842 : x
2. Step 2: Convert to fraction form
   47,546/101,842 = 101,842/x
3. Step 3: Cross multiply
   47,546x = 101,842 × 101,842
4. Step 4: Simplify right side
   47,546x = 10,371,792,964
5. Step 5: Solve for x
   x = 10,371,792,964/47,546
6. Step 6: Final answer
   x = 218,142.28