Finding the Third Proportional to 90,272 and 189,824

Step by Step Solution

1. Step 1: Write the proportion equation
   90,272 : 189,824 = 189,824 : x
2. Step 2: Convert to fraction form
   90,272/189,824 = 189,824/x
3. Step 3: Cross multiply
   90,272x = 189,824 × 189,824
4. Step 4: Simplify right side
   90,272x = 36,033,150,976
5. Step 5: Solve for x
   x = 36,033,150,976/90,272
6. Step 6: Final answer
   x = 399,161.99