Finding the Third Proportional to 90,444 and 196,456

Step by Step Solution

1. Step 1: Write the proportion equation
   90,444 : 196,456 = 196,456 : x
2. Step 2: Convert to fraction form
   90,444/196,456 = 196,456/x
3. Step 3: Cross multiply
   90,444x = 196,456 × 196,456
4. Step 4: Simplify right side
   90,444x = 38,594,959,936
5. Step 5: Solve for x
   x = 38,594,959,936/90,444
6. Step 6: Final answer
   x = 426,727.70