Finding the Third Proportional to 80,494 and 174,817

Step by Step Solution

1. Step 1: Write the proportion equation
   80,494 : 174,817 = 174,817 : x
2. Step 2: Convert to fraction form
   80,494/174,817 = 174,817/x
3. Step 3: Cross multiply
   80,494x = 174,817 × 174,817
4. Step 4: Simplify right side
   80,494x = 30,560,983,489
5. Step 5: Solve for x
   x = 30,560,983,489/80,494
6. Step 6: Final answer
   x = 379,667.84