Finding the Third Proportional to 118,728 and 174,204

Step by Step Solution

1. Step 1: Write the proportion equation
   118,728 : 174,204 = 174,204 : x
2. Step 2: Convert to fraction form
   118,728/174,204 = 174,204/x
3. Step 3: Cross multiply
   118,728x = 174,204 × 174,204
4. Step 4: Simplify right side
   118,728x = 30,347,033,616
5. Step 5: Solve for x
   x = 30,347,033,616/118,728
6. Step 6: Final answer
   x = 255,601.32