Finding the Third Proportional to 80,822 and 175,468

Step by Step Solution

1. Step 1: Write the proportion equation
   80,822 : 175,468 = 175,468 : x
2. Step 2: Convert to fraction form
   80,822/175,468 = 175,468/x
3. Step 3: Cross multiply
   80,822x = 175,468 × 175,468
4. Step 4: Simplify right side
   80,822x = 30,789,019,024
5. Step 5: Solve for x
   x = 30,789,019,024/80,822
6. Step 6: Final answer
   x = 380,948.49