Finding the Third Proportional to 80,406 and 175,716

Step by Step Solution

1. Step 1: Write the proportion equation
   80,406 : 175,716 = 175,716 : x
2. Step 2: Convert to fraction form
   80,406/175,716 = 175,716/x
3. Step 3: Cross multiply
   80,406x = 175,716 × 175,716
4. Step 4: Simplify right side
   80,406x = 30,876,112,656
5. Step 5: Solve for x
   x = 30,876,112,656/80,406
6. Step 6: Final answer
   x = 384,002.60