Finding the Third Proportional to 47,574 and 101,736

Step by Step Solution

1. Step 1: Write the proportion equation
   47,574 : 101,736 = 101,736 : x
2. Step 2: Convert to fraction form
   47,574/101,736 = 101,736/x
3. Step 3: Cross multiply
   47,574x = 101,736 × 101,736
4. Step 4: Simplify right side
   47,574x = 10,350,213,696
5. Step 5: Solve for x
   x = 10,350,213,696/47,574
6. Step 6: Final answer
   x = 217,560.30