Finding the Third Proportional to 80,492 and 174,813

Step by Step Solution

1. Step 1: Write the proportion equation
   80,492 : 174,813 = 174,813 : x
2. Step 2: Convert to fraction form
   80,492/174,813 = 174,813/x
3. Step 3: Cross multiply
   80,492x = 174,813 × 174,813
4. Step 4: Simplify right side
   80,492x = 30,559,584,969
5. Step 5: Solve for x
   x = 30,559,584,969/80,492
6. Step 6: Final answer
   x = 379,659.90