Finding the Third Proportional to 194,942 and 418,892

Step by Step Solution

1. Step 1: Write the proportion equation
   194,942 : 418,892 = 418,892 : x
2. Step 2: Convert to fraction form
   194,942/418,892 = 418,892/x
3. Step 3: Cross multiply
   194,942x = 418,892 × 418,892
4. Step 4: Simplify right side
   194,942x = 175,470,507,664
5. Step 5: Solve for x
   x = 175,470,507,664/194,942
6. Step 6: Final answer
   x = 900,116.48