Finding the Third Proportional to 80,642 and 175,132

Step by Step Solution

1. Step 1: Write the proportion equation
   80,642 : 175,132 = 175,132 : x
2. Step 2: Convert to fraction form
   80,642/175,132 = 175,132/x
3. Step 3: Cross multiply
   80,642x = 175,132 × 175,132
4. Step 4: Simplify right side
   80,642x = 30,671,217,424
5. Step 5: Solve for x
   x = 30,671,217,424/80,642
6. Step 6: Final answer
   x = 380,338.01