Finding the Third Proportional to 89,792 and 195,352

Step by Step Solution

1. Step 1: Write the proportion equation
   89,792 : 195,352 = 195,352 : x
2. Step 2: Convert to fraction form
   89,792/195,352 = 195,352/x
3. Step 3: Cross multiply
   89,792x = 195,352 × 195,352
4. Step 4: Simplify right side
   89,792x = 38,162,403,904
5. Step 5: Solve for x
   x = 38,162,403,904/89,792
6. Step 6: Final answer
   x = 425,008.95