Finding the Third Proportional to 80,603 and 175,480

Step by Step Solution

1. Step 1: Write the proportion equation
   80,603 : 175,480 = 175,480 : x
2. Step 2: Convert to fraction form
   80,603/175,480 = 175,480/x
3. Step 3: Cross multiply
   80,603x = 175,480 × 175,480
4. Step 4: Simplify right side
   80,603x = 30,793,230,400
5. Step 5: Solve for x
   x = 30,793,230,400/80,603
6. Step 6: Final answer
   x = 382,035.79