Finding the Third Proportional to 191,898 and 418,728

Step by Step Solution

1. Step 1: Write the proportion equation
   191,898 : 418,728 = 418,728 : x
2. Step 2: Convert to fraction form
   191,898/418,728 = 418,728/x
3. Step 3: Cross multiply
   191,898x = 418,728 × 418,728
4. Step 4: Simplify right side
   191,898x = 175,333,137,984
5. Step 5: Solve for x
   x = 175,333,137,984/191,898
6. Step 6: Final answer
   x = 913,678.82