Finding the Third Proportional to 47,338 and 101,540

Step by Step Solution

1. Step 1: Write the proportion equation
   47,338 : 101,540 = 101,540 : x
2. Step 2: Convert to fraction form
   47,338/101,540 = 101,540/x
3. Step 3: Cross multiply
   47,338x = 101,540 × 101,540
4. Step 4: Simplify right side
   47,338x = 10,310,371,600
5. Step 5: Solve for x
   x = 10,310,371,600/47,338
6. Step 6: Final answer
   x = 217,803.28