Finding the Third Proportional to 89,982 and 195,498

Step by Step Solution

1. Step 1: Write the proportion equation
   89,982 : 195,498 = 195,498 : x
2. Step 2: Convert to fraction form
   89,982/195,498 = 195,498/x
3. Step 3: Cross multiply
   89,982x = 195,498 × 195,498
4. Step 4: Simplify right side
   89,982x = 38,219,468,004
5. Step 5: Solve for x
   x = 38,219,468,004/89,982
6. Step 6: Final answer
   x = 424,745.70