Finding the Third Proportional to 89,366 and 196,444

Step by Step Solution

1. Step 1: Write the proportion equation
   89,366 : 196,444 = 196,444 : x
2. Step 2: Convert to fraction form
   89,366/196,444 = 196,444/x
3. Step 3: Cross multiply
   89,366x = 196,444 × 196,444
4. Step 4: Simplify right side
   89,366x = 38,590,245,136
5. Step 5: Solve for x
   x = 38,590,245,136/89,366
6. Step 6: Final answer
   x = 431,822.45