Finding the Third Proportional to 82,960 and 174,024

Step by Step Solution

1. Step 1: Write the proportion equation
   82,960 : 174,024 = 174,024 : x
2. Step 2: Convert to fraction form
   82,960/174,024 = 174,024/x
3. Step 3: Cross multiply
   82,960x = 174,024 × 174,024
4. Step 4: Simplify right side
   82,960x = 30,284,352,576
5. Step 5: Solve for x
   x = 30,284,352,576/82,960
6. Step 6: Final answer
   x = 365,047.64