Finding the Third Proportional to 89,512 and 196,520

Step by Step Solution

1. Step 1: Write the proportion equation
   89,512 : 196,520 = 196,520 : x
2. Step 2: Convert to fraction form
   89,512/196,520 = 196,520/x
3. Step 3: Cross multiply
   89,512x = 196,520 × 196,520
4. Step 4: Simplify right side
   89,512x = 38,620,110,400
5. Step 5: Solve for x
   x = 38,620,110,400/89,512
6. Step 6: Final answer
   x = 431,451.77