Finding the Third Proportional to 47,204 and 101,782

Step by Step Solution

1. Step 1: Write the proportion equation
   47,204 : 101,782 = 101,782 : x
2. Step 2: Convert to fraction form
   47,204/101,782 = 101,782/x
3. Step 3: Cross multiply
   47,204x = 101,782 × 101,782
4. Step 4: Simplify right side
   47,204x = 10,359,575,524
5. Step 5: Solve for x
   x = 10,359,575,524/47,204
6. Step 6: Final answer
   x = 219,463.93