Finding the Third Proportional to 78,992 and 175,480

Step by Step Solution

1. Step 1: Write the proportion equation
   78,992 : 175,480 = 175,480 : x
2. Step 2: Convert to fraction form
   78,992/175,480 = 175,480/x
3. Step 3: Cross multiply
   78,992x = 175,480 × 175,480
4. Step 4: Simplify right side
   78,992x = 30,793,230,400
5. Step 5: Solve for x
   x = 30,793,230,400/78,992
6. Step 6: Final answer
   x = 389,827.20