Finding the Third Proportional to 90,496 and 194,865

Step by Step Solution

1. Step 1: Write the proportion equation
   90,496 : 194,865 = 194,865 : x
2. Step 2: Convert to fraction form
   90,496/194,865 = 194,865/x
3. Step 3: Cross multiply
   90,496x = 194,865 × 194,865
4. Step 4: Simplify right side
   90,496x = 37,972,368,225
5. Step 5: Solve for x
   x = 37,972,368,225/90,496
6. Step 6: Final answer
   x = 419,602.73