Finding the Third Proportional to 47,978 and 101,802

Step by Step Solution

1. Step 1: Write the proportion equation
   47,978 : 101,802 = 101,802 : x
2. Step 2: Convert to fraction form
   47,978/101,802 = 101,802/x
3. Step 3: Cross multiply
   47,978x = 101,802 × 101,802
4. Step 4: Simplify right side
   47,978x = 10,363,647,204
5. Step 5: Solve for x
   x = 10,363,647,204/47,978
6. Step 6: Final answer
   x = 216,008.32