Finding the Third Proportional to 90,504 and 189,264

Step by Step Solution

1. Step 1: Write the proportion equation
   90,504 : 189,264 = 189,264 : x
2. Step 2: Convert to fraction form
   90,504/189,264 = 189,264/x
3. Step 3: Cross multiply
   90,504x = 189,264 × 189,264
4. Step 4: Simplify right side
   90,504x = 35,820,861,696
5. Step 5: Solve for x
   x = 35,820,861,696/90,504
6. Step 6: Final answer
   x = 395,793.13