Finding the Third Proportional to 80,412 and 175,828

Step by Step Solution

1. Step 1: Write the proportion equation
   80,412 : 175,828 = 175,828 : x
2. Step 2: Convert to fraction form
   80,412/175,828 = 175,828/x
3. Step 3: Cross multiply
   80,412x = 175,828 × 175,828
4. Step 4: Simplify right side
   80,412x = 30,915,485,584
5. Step 5: Solve for x
   x = 30,915,485,584/80,412
6. Step 6: Final answer
   x = 384,463.58