Finding the Third Proportional to 80,625 and 188,271

Step by Step Solution

1. Step 1: Write the proportion equation
   80,625 : 188,271 = 188,271 : x
2. Step 2: Convert to fraction form
   80,625/188,271 = 188,271/x
3. Step 3: Cross multiply
   80,625x = 188,271 × 188,271
4. Step 4: Simplify right side
   80,625x = 35,445,969,441
5. Step 5: Solve for x
   x = 35,445,969,441/80,625
6. Step 6: Final answer
   x = 439,639.93