Finding the Third Proportional to 89,296 and 196,448

Step by Step Solution

1. Step 1: Write the proportion equation
   89,296 : 196,448 = 196,448 : x
2. Step 2: Convert to fraction form
   89,296/196,448 = 196,448/x
3. Step 3: Cross multiply
   89,296x = 196,448 × 196,448
4. Step 4: Simplify right side
   89,296x = 38,591,816,704
5. Step 5: Solve for x
   x = 38,591,816,704/89,296
6. Step 6: Final answer
   x = 432,178.56