Finding the Third Proportional to 89,282 and 196,420

Step by Step Solution

1. Step 1: Write the proportion equation
   89,282 : 196,420 = 196,420 : x
2. Step 2: Convert to fraction form
   89,282/196,420 = 196,420/x
3. Step 3: Cross multiply
   89,282x = 196,420 × 196,420
4. Step 4: Simplify right side
   89,282x = 38,580,816,400
5. Step 5: Solve for x
   x = 38,580,816,400/89,282
6. Step 6: Final answer
   x = 432,123.12