Finding the Third Proportional to 194,788 and 419,168

Step by Step Solution

1. Step 1: Write the proportion equation
   194,788 : 419,168 = 419,168 : x
2. Step 2: Convert to fraction form
   194,788/419,168 = 419,168/x
3. Step 3: Cross multiply
   194,788x = 419,168 × 419,168
4. Step 4: Simplify right side
   194,788x = 175,701,812,224
5. Step 5: Solve for x
   x = 175,701,812,224/194,788
6. Step 6: Final answer
   x = 902,015.59