Finding the Third Proportional to 47,328 and 101,946

Step by Step Solution

1. Step 1: Write the proportion equation
   47,328 : 101,946 = 101,946 : x
2. Step 2: Convert to fraction form
   47,328/101,946 = 101,946/x
3. Step 3: Cross multiply
   47,328x = 101,946 × 101,946
4. Step 4: Simplify right side
   47,328x = 10,392,986,916
5. Step 5: Solve for x
   x = 10,392,986,916/47,328
6. Step 6: Final answer
   x = 219,594.89