Finding the Third Proportional to 90,498 and 195,020

Step by Step Solution

1. Step 1: Write the proportion equation
   90,498 : 195,020 = 195,020 : x
2. Step 2: Convert to fraction form
   90,498/195,020 = 195,020/x
3. Step 3: Cross multiply
   90,498x = 195,020 × 195,020
4. Step 4: Simplify right side
   90,498x = 38,032,800,400
5. Step 5: Solve for x
   x = 38,032,800,400/90,498
6. Step 6: Final answer
   x = 420,261.23