Finding the Third Proportional to 80,184 and 174,036

Step by Step Solution

1. Step 1: Write the proportion equation
   80,184 : 174,036 = 174,036 : x
2. Step 2: Convert to fraction form
   80,184/174,036 = 174,036/x
3. Step 3: Cross multiply
   80,184x = 174,036 × 174,036
4. Step 4: Simplify right side
   80,184x = 30,288,529,296
5. Step 5: Solve for x
   x = 30,288,529,296/80,184
6. Step 6: Final answer
   x = 377,737.82