Finding the Third Proportional to 90,911 and 194,457

Step by Step Solution

1. Step 1: Write the proportion equation
   90,911 : 194,457 = 194,457 : x
2. Step 2: Convert to fraction form
   90,911/194,457 = 194,457/x
3. Step 3: Cross multiply
   90,911x = 194,457 × 194,457
4. Step 4: Simplify right side
   90,911x = 37,813,524,849
5. Step 5: Solve for x
   x = 37,813,524,849/90,911
6. Step 6: Final answer
   x = 415,940.04