Finding the Third Proportional to 89,019 and 194,454

Step by Step Solution

1. Step 1: Write the proportion equation
   89,019 : 194,454 = 194,454 : x
2. Step 2: Convert to fraction form
   89,019/194,454 = 194,454/x
3. Step 3: Cross multiply
   89,019x = 194,454 × 194,454
4. Step 4: Simplify right side
   89,019x = 37,812,358,116
5. Step 5: Solve for x
   x = 37,812,358,116/89,019
6. Step 6: Final answer
   x = 424,767.28