Finding the Third Proportional to 80,577 and 174,996

Step by Step Solution

1. Step 1: Write the proportion equation
   80,577 : 174,996 = 174,996 : x
2. Step 2: Convert to fraction form
   80,577/174,996 = 174,996/x
3. Step 3: Cross multiply
   80,577x = 174,996 × 174,996
4. Step 4: Simplify right side
   80,577x = 30,623,600,016
5. Step 5: Solve for x
   x = 30,623,600,016/80,577
6. Step 6: Final answer
   x = 380,053.86