Finding the Third Proportional to 79,421.50 and 174,638

Step by Step Solution

1. Step 1: Write the proportion equation
   79,421.50 : 174,638 = 174,638 : x
2. Step 2: Convert to fraction form
   79,421.50/174,638 = 174,638/x
3. Step 3: Cross multiply
   79,421.50x = 174,638 × 174,638
4. Step 4: Simplify right side
   79,421.50x = 30,498,431,044
5. Step 5: Solve for x
   x = 30,498,431,044/79,421.50
6. Step 6: Final answer
   x = 384,007.24