Finding the Third Proportional to 80,858 and 175,850

Step by Step Solution

1. Step 1: Write the proportion equation
   80,858 : 175,850 = 175,850 : x
2. Step 2: Convert to fraction form
   80,858/175,850 = 175,850/x
3. Step 3: Cross multiply
   80,858x = 175,850 × 175,850
4. Step 4: Simplify right side
   80,858x = 30,923,222,500
5. Step 5: Solve for x
   x = 30,923,222,500/80,858
6. Step 6: Final answer
   x = 382,438.63