Finding the Third Proportional to 76,144 and 109,676

Step by Step Solution

1. Step 1: Write the proportion equation
   76,144 : 109,676 = 109,676 : x
2. Step 2: Convert to fraction form
   76,144/109,676 = 109,676/x
3. Step 3: Cross multiply
   76,144x = 109,676 × 109,676
4. Step 4: Simplify right side
   76,144x = 12,028,824,976
5. Step 5: Solve for x
   x = 12,028,824,976/76,144
6. Step 6: Final answer
   x = 157,974.69