Finding the Third Proportional to 90,648 and 195,336

Step by Step Solution

1. Step 1: Write the proportion equation
   90,648 : 195,336 = 195,336 : x
2. Step 2: Convert to fraction form
   90,648/195,336 = 195,336/x
3. Step 3: Cross multiply
   90,648x = 195,336 × 195,336
4. Step 4: Simplify right side
   90,648x = 38,156,152,896
5. Step 5: Solve for x
   x = 38,156,152,896/90,648
6. Step 6: Final answer
   x = 420,926.58