Finding the Third Proportional to 76,968 and 115,144

Step by Step Solution

1. Step 1: Write the proportion equation
   76,968 : 115,144 = 115,144 : x
2. Step 2: Convert to fraction form
   76,968/115,144 = 115,144/x
3. Step 3: Cross multiply
   76,968x = 115,144 × 115,144
4. Step 4: Simplify right side
   76,968x = 13,258,140,736
5. Step 5: Solve for x
   x = 13,258,140,736/76,968
6. Step 6: Final answer
   x = 172,255.23