Finding the Third Proportional to 89,390 and 195,849

Step by Step Solution

1. Step 1: Write the proportion equation
   89,390 : 195,849 = 195,849 : x
2. Step 2: Convert to fraction form
   89,390/195,849 = 195,849/x
3. Step 3: Cross multiply
   89,390x = 195,849 × 195,849
4. Step 4: Simplify right side
   89,390x = 38,356,830,801
5. Step 5: Solve for x
   x = 38,356,830,801/89,390
6. Step 6: Final answer
   x = 429,095.32