Finding the Third Proportional to 80,208 and 174,672

Step by Step Solution

1. Step 1: Write the proportion equation
   80,208 : 174,672 = 174,672 : x
2. Step 2: Convert to fraction form
   80,208/174,672 = 174,672/x
3. Step 3: Cross multiply
   80,208x = 174,672 × 174,672
4. Step 4: Simplify right side
   80,208x = 30,510,307,584
5. Step 5: Solve for x
   x = 30,510,307,584/80,208
6. Step 6: Final answer
   x = 380,389.83