Finding the Third Proportional to 194,426 and 419,200

Step by Step Solution

1. Step 1: Write the proportion equation
   194,426 : 419,200 = 419,200 : x
2. Step 2: Convert to fraction form
   194,426/419,200 = 419,200/x
3. Step 3: Cross multiply
   194,426x = 419,200 × 419,200
4. Step 4: Simplify right side
   194,426x = 175,728,640,000
5. Step 5: Solve for x
   x = 175,728,640,000/194,426
6. Step 6: Final answer
   x = 903,833.03