Finding the Third Proportional to 90,648 and 194,417

Step by Step Solution

1. Step 1: Write the proportion equation
   90,648 : 194,417 = 194,417 : x
2. Step 2: Convert to fraction form
   90,648/194,417 = 194,417/x
3. Step 3: Cross multiply
   90,648x = 194,417 × 194,417
4. Step 4: Simplify right side
   90,648x = 37,797,969,889
5. Step 5: Solve for x
   x = 37,797,969,889/90,648
6. Step 6: Final answer
   x = 416,975.22