Finding the Third Proportional to 47,112 and 108,978

Step by Step Solution

1. Step 1: Write the proportion equation
   47,112 : 108,978 = 108,978 : x
2. Step 2: Convert to fraction form
   47,112/108,978 = 108,978/x
3. Step 3: Cross multiply
   47,112x = 108,978 × 108,978
4. Step 4: Simplify right side
   47,112x = 11,876,204,484
5. Step 5: Solve for x
   x = 11,876,204,484/47,112
6. Step 6: Final answer
   x = 252,084.49