Finding the Third Proportional to 80,889 and 175,521

Step by Step Solution

1. Step 1: Write the proportion equation
   80,889 : 175,521 = 175,521 : x
2. Step 2: Convert to fraction form
   80,889/175,521 = 175,521/x
3. Step 3: Cross multiply
   80,889x = 175,521 × 175,521
4. Step 4: Simplify right side
   80,889x = 30,807,621,441
5. Step 5: Solve for x
   x = 30,807,621,441/80,889
6. Step 6: Final answer
   x = 380,862.93