Finding the Third Proportional to 80,034 and 173,634

Step by Step Solution

1. Step 1: Write the proportion equation
   80,034 : 173,634 = 173,634 : x
2. Step 2: Convert to fraction form
   80,034/173,634 = 173,634/x
3. Step 3: Cross multiply
   80,034x = 173,634 × 173,634
4. Step 4: Simplify right side
   80,034x = 30,148,765,956
5. Step 5: Solve for x
   x = 30,148,765,956/80,034
6. Step 6: Final answer
   x = 376,699.48