Finding the Third Proportional to 79,768.50 and 174,026

Step by Step Solution

1. Step 1: Write the proportion equation
   79,768.50 : 174,026 = 174,026 : x
2. Step 2: Convert to fraction form
   79,768.50/174,026 = 174,026/x
3. Step 3: Cross multiply
   79,768.50x = 174,026 × 174,026
4. Step 4: Simplify right side
   79,768.50x = 30,285,048,676
5. Step 5: Solve for x
   x = 30,285,048,676/79,768.50
6. Step 6: Final answer
   x = 379,661.75