Finding the Third Proportional to 80,388 and 186,250

Step by Step Solution

1. Step 1: Write the proportion equation
   80,388 : 186,250 = 186,250 : x
2. Step 2: Convert to fraction form
   80,388/186,250 = 186,250/x
3. Step 3: Cross multiply
   80,388x = 186,250 × 186,250
4. Step 4: Simplify right side
   80,388x = 34,689,062,500
5. Step 5: Solve for x
   x = 34,689,062,500/80,388
6. Step 6: Final answer
   x = 431,520.41