Finding the Third Proportional to 80,299 and 174,908

Step by Step Solution

1. Step 1: Write the proportion equation
   80,299 : 174,908 = 174,908 : x
2. Step 2: Convert to fraction form
   80,299/174,908 = 174,908/x
3. Step 3: Cross multiply
   80,299x = 174,908 × 174,908
4. Step 4: Simplify right side
   80,299x = 30,592,808,464
5. Step 5: Solve for x
   x = 30,592,808,464/80,299
6. Step 6: Final answer
   x = 380,986.17