Finding the Third Proportional to 80,492 and 174,814

Step by Step Solution

1. Step 1: Write the proportion equation
   80,492 : 174,814 = 174,814 : x
2. Step 2: Convert to fraction form
   80,492/174,814 = 174,814/x
3. Step 3: Cross multiply
   80,492x = 174,814 × 174,814
4. Step 4: Simplify right side
   80,492x = 30,559,934,596
5. Step 5: Solve for x
   x = 30,559,934,596/80,492
6. Step 6: Final answer
   x = 379,664.25