Finding the Third Proportional to 89,644 and 195,092

Step by Step Solution

1. Step 1: Write the proportion equation
   89,644 : 195,092 = 195,092 : x
2. Step 2: Convert to fraction form
   89,644/195,092 = 195,092/x
3. Step 3: Cross multiply
   89,644x = 195,092 × 195,092
4. Step 4: Simplify right side
   89,644x = 38,060,888,464
5. Step 5: Solve for x
   x = 38,060,888,464/89,644
6. Step 6: Final answer
   x = 424,578.20