Finding the Third Proportional to 76,656 and 168,096

Step by Step Solution

1. Step 1: Write the proportion equation
   76,656 : 168,096 = 168,096 : x
2. Step 2: Convert to fraction form
   76,656/168,096 = 168,096/x
3. Step 3: Cross multiply
   76,656x = 168,096 × 168,096
4. Step 4: Simplify right side
   76,656x = 28,256,265,216
5. Step 5: Solve for x
   x = 28,256,265,216/76,656
6. Step 6: Final answer
   x = 368,611.27