Finding the Third Proportional to 80,072 and 174,240

Step by Step Solution

1. Step 1: Write the proportion equation
   80,072 : 174,240 = 174,240 : x
2. Step 2: Convert to fraction form
   80,072/174,240 = 174,240/x
3. Step 3: Cross multiply
   80,072x = 174,240 × 174,240
4. Step 4: Simplify right side
   80,072x = 30,359,577,600
5. Step 5: Solve for x
   x = 30,359,577,600/80,072
6. Step 6: Final answer
   x = 379,153.48