Finding the Third Proportional to 80,196 and 174,054

Step by Step Solution

1. Step 1: Write the proportion equation
   80,196 : 174,054 = 174,054 : x
2. Step 2: Convert to fraction form
   80,196/174,054 = 174,054/x
3. Step 3: Cross multiply
   80,196x = 174,054 × 174,054
4. Step 4: Simplify right side
   80,196x = 30,294,794,916
5. Step 5: Solve for x
   x = 30,294,794,916/80,196
6. Step 6: Final answer
   x = 377,759.43