Finding the Third Proportional to 79,536 and 117,096

Step by Step Solution

1. Step 1: Write the proportion equation
   79,536 : 117,096 = 117,096 : x
2. Step 2: Convert to fraction form
   79,536/117,096 = 117,096/x
3. Step 3: Cross multiply
   79,536x = 117,096 × 117,096
4. Step 4: Simplify right side
   79,536x = 13,711,473,216
5. Step 5: Solve for x
   x = 13,711,473,216/79,536
6. Step 6: Final answer
   x = 172,393.30