Finding the Third Proportional to 80,400 and 174,640

Step by Step Solution

1. Step 1: Write the proportion equation
   80,400 : 174,640 = 174,640 : x
2. Step 2: Convert to fraction form
   80,400/174,640 = 174,640/x
3. Step 3: Cross multiply
   80,400x = 174,640 × 174,640
4. Step 4: Simplify right side
   80,400x = 30,499,129,600
5. Step 5: Solve for x
   x = 30,499,129,600/80,400
6. Step 6: Final answer
   x = 379,342.41