Finding the Third Proportional to 77,976 and 113,805

Step by Step Solution

1. Step 1: Write the proportion equation
   77,976 : 113,805 = 113,805 : x
2. Step 2: Convert to fraction form
   77,976/113,805 = 113,805/x
3. Step 3: Cross multiply
   77,976x = 113,805 × 113,805
4. Step 4: Simplify right side
   77,976x = 12,951,578,025
5. Step 5: Solve for x
   x = 12,951,578,025/77,976
6. Step 6: Final answer
   x = 166,096.98