Finding the Third Proportional to 80,020 and 174,440

Step by Step Solution

1. Step 1: Write the proportion equation
   80,020 : 174,440 = 174,440 : x
2. Step 2: Convert to fraction form
   80,020/174,440 = 174,440/x
3. Step 3: Cross multiply
   80,020x = 174,440 × 174,440
4. Step 4: Simplify right side
   80,020x = 30,429,313,600
5. Step 5: Solve for x
   x = 30,429,313,600/80,020
6. Step 6: Final answer
   x = 380,271.35