Finding the Third Proportional to 80,584.50 and 177,252

Step by Step Solution

1. Step 1: Write the proportion equation
   80,584.50 : 177,252 = 177,252 : x
2. Step 2: Convert to fraction form
   80,584.50/177,252 = 177,252/x
3. Step 3: Cross multiply
   80,584.50x = 177,252 × 177,252
4. Step 4: Simplify right side
   80,584.50x = 31,418,271,504
5. Step 5: Solve for x
   x = 31,418,271,504/80,584.50
6. Step 6: Final answer
   x = 389,879.83