Finding the Third Proportional to 90,728 and 186,064

Step by Step Solution

1. Step 1: Write the proportion equation
   90,728 : 186,064 = 186,064 : x
2. Step 2: Convert to fraction form
   90,728/186,064 = 186,064/x
3. Step 3: Cross multiply
   90,728x = 186,064 × 186,064
4. Step 4: Simplify right side
   90,728x = 34,619,812,096
5. Step 5: Solve for x
   x = 34,619,812,096/90,728
6. Step 6: Final answer
   x = 381,578.04