Finding the Third Proportional to 90,356.50 and 194,456

Step by Step Solution

1. Step 1: Write the proportion equation
   90,356.50 : 194,456 = 194,456 : x
2. Step 2: Convert to fraction form
   90,356.50/194,456 = 194,456/x
3. Step 3: Cross multiply
   90,356.50x = 194,456 × 194,456
4. Step 4: Simplify right side
   90,356.50x = 37,813,135,936
5. Step 5: Solve for x
   x = 37,813,135,936/90,356.50
6. Step 6: Final answer
   x = 418,488.28