Finding the Third Proportional to 79,765 and 174,020

Step by Step Solution

1. Step 1: Write the proportion equation
   79,765 : 174,020 = 174,020 : x
2. Step 2: Convert to fraction form
   79,765/174,020 = 174,020/x
3. Step 3: Cross multiply
   79,765x = 174,020 × 174,020
4. Step 4: Simplify right side
   79,765x = 30,282,960,400
5. Step 5: Solve for x
   x = 30,282,960,400/79,765
6. Step 6: Final answer
   x = 379,652.23