Finding the Third Proportional to 90,640 and 194,405

Step by Step Solution

1. Step 1: Write the proportion equation
   90,640 : 194,405 = 194,405 : x
2. Step 2: Convert to fraction form
   90,640/194,405 = 194,405/x
3. Step 3: Cross multiply
   90,640x = 194,405 × 194,405
4. Step 4: Simplify right side
   90,640x = 37,793,304,025
5. Step 5: Solve for x
   x = 37,793,304,025/90,640
6. Step 6: Final answer
   x = 416,960.55