Finding the Third Proportional to 90,890 and 194,416

Step by Step Solution

1. Step 1: Write the proportion equation
   90,890 : 194,416 = 194,416 : x
2. Step 2: Convert to fraction form
   90,890/194,416 = 194,416/x
3. Step 3: Cross multiply
   90,890x = 194,416 × 194,416
4. Step 4: Simplify right side
   90,890x = 37,797,581,056
5. Step 5: Solve for x
   x = 37,797,581,056/90,890
6. Step 6: Final answer
   x = 415,860.72