Finding the Third Proportional to 80,728 and 175,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,728 : 175,987.50 = 175,987.50 : x
2. Step 2: Convert to fraction form
   80,728/175,987.50 = 175,987.50/x
3. Step 3: Cross multiply
   80,728x = 175,987.50 × 175,987.50
4. Step 4: Simplify right side
   80,728x = 30,971,600,156.25
5. Step 5: Solve for x
   x = 30,971,600,156.25/80,728
6. Step 6: Final answer
   x = 383,653.75