Finding the Third Proportional to 88,900 and 195,824

Step by Step Solution

1. Step 1: Write the proportion equation
   88,900 : 195,824 = 195,824 : x
2. Step 2: Convert to fraction form
   88,900/195,824 = 195,824/x
3. Step 3: Cross multiply
   88,900x = 195,824 × 195,824
4. Step 4: Simplify right side
   88,900x = 38,347,038,976
5. Step 5: Solve for x
   x = 38,347,038,976/88,900
6. Step 6: Final answer
   x = 431,350.27