Finding the Third Proportional to 47,298 and 101,978

Step by Step Solution

1. Step 1: Write the proportion equation
   47,298 : 101,978 = 101,978 : x
2. Step 2: Convert to fraction form
   47,298/101,978 = 101,978/x
3. Step 3: Cross multiply
   47,298x = 101,978 × 101,978
4. Step 4: Simplify right side
   47,298x = 10,399,512,484
5. Step 5: Solve for x
   x = 10,399,512,484/47,298
6. Step 6: Final answer
   x = 219,872.14