Finding the Third Proportional to 78,998 and 175,492

Step by Step Solution

1. Step 1: Write the proportion equation
   78,998 : 175,492 = 175,492 : x
2. Step 2: Convert to fraction form
   78,998/175,492 = 175,492/x
3. Step 3: Cross multiply
   78,998x = 175,492 × 175,492
4. Step 4: Simplify right side
   78,998x = 30,797,442,064
5. Step 5: Solve for x
   x = 30,797,442,064/78,998
6. Step 6: Final answer
   x = 389,850.91