Finding the Third Proportional to 80,378 and 174,595

Step by Step Solution

1. Step 1: Write the proportion equation
   80,378 : 174,595 = 174,595 : x
2. Step 2: Convert to fraction form
   80,378/174,595 = 174,595/x
3. Step 3: Cross multiply
   80,378x = 174,595 × 174,595
4. Step 4: Simplify right side
   80,378x = 30,483,414,025
5. Step 5: Solve for x
   x = 30,483,414,025/80,378
6. Step 6: Final answer
   x = 379,250.72