Finding the Third Proportional to 84,096 and 175,980

Step by Step Solution

1. Step 1: Write the proportion equation
   84,096 : 175,980 = 175,980 : x
2. Step 2: Convert to fraction form
   84,096/175,980 = 175,980/x
3. Step 3: Cross multiply
   84,096x = 175,980 × 175,980
4. Step 4: Simplify right side
   84,096x = 30,968,960,400
5. Step 5: Solve for x
   x = 30,968,960,400/84,096
6. Step 6: Final answer
   x = 368,257.23