Finding the Third Proportional to 194,565 and 419,150

Step by Step Solution

1. Step 1: Write the proportion equation
   194,565 : 419,150 = 419,150 : x
2. Step 2: Convert to fraction form
   194,565/419,150 = 419,150/x
3. Step 3: Cross multiply
   194,565x = 419,150 × 419,150
4. Step 4: Simplify right side
   194,565x = 175,686,722,500
5. Step 5: Solve for x
   x = 175,686,722,500/194,565
6. Step 6: Final answer
   x = 902,971.87