Finding the Third Proportional to 82,098 and 174,078

Step by Step Solution

1. Step 1: Write the proportion equation
   82,098 : 174,078 = 174,078 : x
2. Step 2: Convert to fraction form
   82,098/174,078 = 174,078/x
3. Step 3: Cross multiply
   82,098x = 174,078 × 174,078
4. Step 4: Simplify right side
   82,098x = 30,303,150,084
5. Step 5: Solve for x
   x = 30,303,150,084/82,098
6. Step 6: Final answer
   x = 369,109.48