Finding the Third Proportional to 83,976 and 126,774

Step by Step Solution

1. Step 1: Write the proportion equation
   83,976 : 126,774 = 126,774 : x
2. Step 2: Convert to fraction form
   83,976/126,774 = 126,774/x
3. Step 3: Cross multiply
   83,976x = 126,774 × 126,774
4. Step 4: Simplify right side
   83,976x = 16,071,647,076
5. Step 5: Solve for x
   x = 16,071,647,076/83,976
6. Step 6: Final answer
   x = 191,383.81