Finding the Third Proportional to 82,496 and 128,064

Step by Step Solution

1. Step 1: Write the proportion equation
   82,496 : 128,064 = 128,064 : x
2. Step 2: Convert to fraction form
   82,496/128,064 = 128,064/x
3. Step 3: Cross multiply
   82,496x = 128,064 × 128,064
4. Step 4: Simplify right side
   82,496x = 16,400,388,096
5. Step 5: Solve for x
   x = 16,400,388,096/82,496
6. Step 6: Final answer
   x = 198,802.22