Finding the Third Proportional to 84,096 and 179,320

Step by Step Solution

1. Step 1: Write the proportion equation
   84,096 : 179,320 = 179,320 : x
2. Step 2: Convert to fraction form
   84,096/179,320 = 179,320/x
3. Step 3: Cross multiply
   84,096x = 179,320 × 179,320
4. Step 4: Simplify right side
   84,096x = 32,155,662,400
5. Step 5: Solve for x
   x = 32,155,662,400/84,096
6. Step 6: Final answer
   x = 382,368.51