Finding the Third Proportional to 118,980 and 174,496

Step by Step Solution

1. Step 1: Write the proportion equation
   118,980 : 174,496 = 174,496 : x
2. Step 2: Convert to fraction form
   118,980/174,496 = 174,496/x
3. Step 3: Cross multiply
   118,980x = 174,496 × 174,496
4. Step 4: Simplify right side
   118,980x = 30,448,854,016
5. Step 5: Solve for x
   x = 30,448,854,016/118,980
6. Step 6: Final answer
   x = 255,915.73