Finding the Third Proportional to 80,285 and 174,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,285 : 174,872.50 = 174,872.50 : x
2. Step 2: Convert to fraction form
   80,285/174,872.50 = 174,872.50/x
3. Step 3: Cross multiply
   80,285x = 174,872.50 × 174,872.50
4. Step 4: Simplify right side
   80,285x = 30,580,391,256.25
5. Step 5: Solve for x
   x = 30,580,391,256.25/80,285
6. Step 6: Final answer
   x = 380,897.94