Finding the Third Proportional to 90,290 and 194,455

Step by Step Solution

1. Step 1: Write the proportion equation
   90,290 : 194,455 = 194,455 : x
2. Step 2: Convert to fraction form
   90,290/194,455 = 194,455/x
3. Step 3: Cross multiply
   90,290x = 194,455 × 194,455
4. Step 4: Simplify right side
   90,290x = 37,812,747,025
5. Step 5: Solve for x
   x = 37,812,747,025/90,290
6. Step 6: Final answer
   x = 418,792.19