Finding the Third Proportional to 90,426 and 195,429

Step by Step Solution

1. Step 1: Write the proportion equation
   90,426 : 195,429 = 195,429 : x
2. Step 2: Convert to fraction form
   90,426/195,429 = 195,429/x
3. Step 3: Cross multiply
   90,426x = 195,429 × 195,429
4. Step 4: Simplify right side
   90,426x = 38,192,494,041
5. Step 5: Solve for x
   x = 38,192,494,041/90,426
6. Step 6: Final answer
   x = 422,361.87