Finding the Third Proportional to 116,120 and 173,728

Step by Step Solution

1. Step 1: Write the proportion equation
   116,120 : 173,728 = 173,728 : x
2. Step 2: Convert to fraction form
   116,120/173,728 = 173,728/x
3. Step 3: Cross multiply
   116,120x = 173,728 × 173,728
4. Step 4: Simplify right side
   116,120x = 30,181,417,984
5. Step 5: Solve for x
   x = 30,181,417,984/116,120
6. Step 6: Final answer
   x = 259,915.76