Finding the Third Proportional to 80,340 and 174,969

Step by Step Solution

1. Step 1: Write the proportion equation
   80,340 : 174,969 = 174,969 : x
2. Step 2: Convert to fraction form
   80,340/174,969 = 174,969/x
3. Step 3: Cross multiply
   80,340x = 174,969 × 174,969
4. Step 4: Simplify right side
   80,340x = 30,614,150,961
5. Step 5: Solve for x
   x = 30,614,150,961/80,340
6. Step 6: Final answer
   x = 381,057.39