Finding the Third Proportional to 89,005 and 194,422

Step by Step Solution

1. Step 1: Write the proportion equation
   89,005 : 194,422 = 194,422 : x
2. Step 2: Convert to fraction form
   89,005/194,422 = 194,422/x
3. Step 3: Cross multiply
   89,005x = 194,422 × 194,422
4. Step 4: Simplify right side
   89,005x = 37,799,914,084
5. Step 5: Solve for x
   x = 37,799,914,084/89,005
6. Step 6: Final answer
   x = 424,694.28