Finding the Third Proportional to 80,631 and 175,254

Step by Step Solution

1. Step 1: Write the proportion equation
   80,631 : 175,254 = 175,254 : x
2. Step 2: Convert to fraction form
   80,631/175,254 = 175,254/x
3. Step 3: Cross multiply
   80,631x = 175,254 × 175,254
4. Step 4: Simplify right side
   80,631x = 30,713,964,516
5. Step 5: Solve for x
   x = 30,713,964,516/80,631
6. Step 6: Final answer
   x = 380,920.05