Finding the Third Proportional to 80,495 and 174,819

Step by Step Solution

1. Step 1: Write the proportion equation
   80,495 : 174,819 = 174,819 : x
2. Step 2: Convert to fraction form
   80,495/174,819 = 174,819/x
3. Step 3: Cross multiply
   80,495x = 174,819 × 174,819
4. Step 4: Simplify right side
   80,495x = 30,561,682,761
5. Step 5: Solve for x
   x = 30,561,682,761/80,495
6. Step 6: Final answer
   x = 379,671.82