Finding the Third Proportional to 89,724 and 188,745

Step by Step Solution

1. Step 1: Write the proportion equation
   89,724 : 188,745 = 188,745 : x
2. Step 2: Convert to fraction form
   89,724/188,745 = 188,745/x
3. Step 3: Cross multiply
   89,724x = 188,745 × 188,745
4. Step 4: Simplify right side
   89,724x = 35,624,675,025
5. Step 5: Solve for x
   x = 35,624,675,025/89,724
6. Step 6: Final answer
   x = 397,047.33