Finding the Third Proportional to 194,651 and 418,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,651 : 418,398.50 = 418,398.50 : x
2. Step 2: Convert to fraction form
   194,651/418,398.50 = 418,398.50/x
3. Step 3: Cross multiply
   194,651x = 418,398.50 × 418,398.50
4. Step 4: Simplify right side
   194,651x = 175,057,304,802.25
5. Step 5: Solve for x
   x = 175,057,304,802.25/194,651
6. Step 6: Final answer
   x = 899,339.36