Finding the Third Proportional to 78,928 and 162,320

Step by Step Solution

1. Step 1: Write the proportion equation
   78,928 : 162,320 = 162,320 : x
2. Step 2: Convert to fraction form
   78,928/162,320 = 162,320/x
3. Step 3: Cross multiply
   78,928x = 162,320 × 162,320
4. Step 4: Simplify right side
   78,928x = 26,347,782,400
5. Step 5: Solve for x
   x = 26,347,782,400/78,928
6. Step 6: Final answer
   x = 333,820.47