Finding the Third Proportional to 194,860.50 and 418,729

Step by Step Solution

1. Step 1: Write the proportion equation
   194,860.50 : 418,729 = 418,729 : x
2. Step 2: Convert to fraction form
   194,860.50/418,729 = 418,729/x
3. Step 3: Cross multiply
   194,860.50x = 418,729 × 418,729
4. Step 4: Simplify right side
   194,860.50x = 175,333,975,441
5. Step 5: Solve for x
   x = 175,333,975,441/194,860.50
6. Step 6: Final answer
   x = 899,792.29