Finding the Third Proportional to 78,872 and 117,996

Step by Step Solution

1. Step 1: Write the proportion equation
   78,872 : 117,996 = 117,996 : x
2. Step 2: Convert to fraction form
   78,872/117,996 = 117,996/x
3. Step 3: Cross multiply
   78,872x = 117,996 × 117,996
4. Step 4: Simplify right side
   78,872x = 13,923,056,016
5. Step 5: Solve for x
   x = 13,923,056,016/78,872
6. Step 6: Final answer
   x = 176,527.23